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Finding the Fourth Proportional to 648.91, 973.08 and 186.59

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Solution

The fourth proportional to 648.91, 973.08 and 186.59 is: 279.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.91 : 973.08 = 186.59 : x
  2. Step 2: Convert to fraction form
    648.91/973.08 = 186.59/x
  3. Step 3: Cross multiply
    648.91x = 973.08 × 186.59
  4. Step 4: Simplify right side
    648.91x = 181,565.38
  5. Step 5: Solve for x
    x = 181,565.38/648.91
  6. Step 6: Final answer
    x = 279.80

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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.