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Finding the Fourth Proportional to 672.35, 1,008.53 and 185.40

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Solution

The fourth proportional to 672.35, 1,008.53 and 185.40 is: 278.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.35 : 1,008.53 = 185.40 : x
  2. Step 2: Convert to fraction form
    672.35/1,008.53 = 185.40/x
  3. Step 3: Cross multiply
    672.35x = 1,008.53 × 185.40
  4. Step 4: Simplify right side
    672.35x = 186,980.54
  5. Step 5: Solve for x
    x = 186,980.54/672.35
  6. Step 6: Final answer
    x = 278.10

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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.