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Finding the Fourth Proportional to 501.30, 752.25 and 176.94

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Solution

The fourth proportional to 501.30, 752.25 and 176.94 is: 265.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.30 : 752.25 = 176.94 : x
  2. Step 2: Convert to fraction form
    501.30/752.25 = 176.94/x
  3. Step 3: Cross multiply
    501.30x = 752.25 × 176.94
  4. Step 4: Simplify right side
    501.30x = 133,103.12
  5. Step 5: Solve for x
    x = 133,103.12/501.30
  6. Step 6: Final answer
    x = 265.52

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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.