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Finding the Fourth Proportional to 292.85, 404.07 and 176.48

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Solution

The fourth proportional to 292.85, 404.07 and 176.48 is: 243.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.85 : 404.07 = 176.48 : x
  2. Step 2: Convert to fraction form
    292.85/404.07 = 176.48/x
  3. Step 3: Cross multiply
    292.85x = 404.07 × 176.48
  4. Step 4: Simplify right side
    292.85x = 71,310.10
  5. Step 5: Solve for x
    x = 71,310.10/292.85
  6. Step 6: Final answer
    x = 243.50

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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.