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Finding the Fourth Proportional to 292.48, 403.44 and 176.08

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Solution

The fourth proportional to 292.48, 403.44 and 176.08 is: 242.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.48 : 403.44 = 176.08 : x
  2. Step 2: Convert to fraction form
    292.48/403.44 = 176.08/x
  3. Step 3: Cross multiply
    292.48x = 403.44 × 176.08
  4. Step 4: Simplify right side
    292.48x = 71,037.72
  5. Step 5: Solve for x
    x = 71,037.72/292.48
  6. Step 6: Final answer
    x = 242.88

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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.