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Finding the Fourth Proportional to 672.50, 1,008.75 and 185.50

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Solution

The fourth proportional to 672.50, 1,008.75 and 185.50 is: 278.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.50 : 1,008.75 = 185.50 : x
  2. Step 2: Convert to fraction form
    672.50/1,008.75 = 185.50/x
  3. Step 3: Cross multiply
    672.50x = 1,008.75 × 185.50
  4. Step 4: Simplify right side
    672.50x = 187,123.13
  5. Step 5: Solve for x
    x = 187,123.13/672.50
  6. Step 6: Final answer
    x = 278.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.