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Finding the Fourth Proportional to 501.32, 751.70 and 176.52

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Solution

The fourth proportional to 501.32, 751.70 and 176.52 is: 264.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.32 : 751.70 = 176.52 : x
  2. Step 2: Convert to fraction form
    501.32/751.70 = 176.52/x
  3. Step 3: Cross multiply
    501.32x = 751.70 × 176.52
  4. Step 4: Simplify right side
    501.32x = 132,690.08
  5. Step 5: Solve for x
    x = 132,690.08/501.32
  6. Step 6: Final answer
    x = 264.68

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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.