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Finding the Fourth Proportional to 292.16, 402.44 and 250.85

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Solution

The fourth proportional to 292.16, 402.44 and 250.85 is: 345.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.16 : 402.44 = 250.85 : x
  2. Step 2: Convert to fraction form
    292.16/402.44 = 250.85/x
  3. Step 3: Cross multiply
    292.16x = 402.44 × 250.85
  4. Step 4: Simplify right side
    292.16x = 100,948.81
  5. Step 5: Solve for x
    x = 100,948.81/292.16
  6. Step 6: Final answer
    x = 345.53

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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.