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Finding the Fourth Proportional to 501.26, 752.06 and 176.56

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Solution

The fourth proportional to 501.26, 752.06 and 176.56 is: 264.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.26 : 752.06 = 176.56 : x
  2. Step 2: Convert to fraction form
    501.26/752.06 = 176.56/x
  3. Step 3: Cross multiply
    501.26x = 752.06 × 176.56
  4. Step 4: Simplify right side
    501.26x = 132,779.07
  5. Step 5: Solve for x
    x = 132,779.07/501.26
  6. Step 6: Final answer
    x = 264.89

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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.