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Finding the Fourth Proportional to 292.96, 404.32 and 176.64

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Solution

The fourth proportional to 292.96, 404.32 and 176.64 is: 243.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.96 : 404.32 = 176.64 : x
  2. Step 2: Convert to fraction form
    292.96/404.32 = 176.64/x
  3. Step 3: Cross multiply
    292.96x = 404.32 × 176.64
  4. Step 4: Simplify right side
    292.96x = 71,419.08
  5. Step 5: Solve for x
    x = 71,419.08/292.96
  6. Step 6: Final answer
    x = 243.78

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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.