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Finding the Fourth Proportional to 436.25, 654.17 and 176.15

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Solution

The fourth proportional to 436.25, 654.17 and 176.15 is: 264.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.25 : 654.17 = 176.15 : x
  2. Step 2: Convert to fraction form
    436.25/654.17 = 176.15/x
  3. Step 3: Cross multiply
    436.25x = 654.17 × 176.15
  4. Step 4: Simplify right side
    436.25x = 115,227.89
  5. Step 5: Solve for x
    x = 115,227.89/436.25
  6. Step 6: Final answer
    x = 264.14

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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.