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Finding the Fourth Proportional to 500.73, 751.08 and 176.08

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Solution

The fourth proportional to 500.73, 751.08 and 176.08 is: 264.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.73 : 751.08 = 176.08 : x
  2. Step 2: Convert to fraction form
    500.73/751.08 = 176.08/x
  3. Step 3: Cross multiply
    500.73x = 751.08 × 176.08
  4. Step 4: Simplify right side
    500.73x = 132,250.17
  5. Step 5: Solve for x
    x = 132,250.17/500.73
  6. Step 6: Final answer
    x = 264.11

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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.