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Finding the Fourth Proportional to 307.72, 424.60 and 176.76

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Solution

The fourth proportional to 307.72, 424.60 and 176.76 is: 243.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.72 : 424.60 = 176.76 : x
  2. Step 2: Convert to fraction form
    307.72/424.60 = 176.76/x
  3. Step 3: Cross multiply
    307.72x = 424.60 × 176.76
  4. Step 4: Simplify right side
    307.72x = 75,052.30
  5. Step 5: Solve for x
    x = 75,052.30/307.72
  6. Step 6: Final answer
    x = 243.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.