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Finding the Fourth Proportional to 292.61, 438.96 and 138.62

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Solution

The fourth proportional to 292.61, 438.96 and 138.62 is: 207.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.61 : 438.96 = 138.62 : x
  2. Step 2: Convert to fraction form
    292.61/438.96 = 138.62/x
  3. Step 3: Cross multiply
    292.61x = 438.96 × 138.62
  4. Step 4: Simplify right side
    292.61x = 60,850.25
  5. Step 5: Solve for x
    x = 60,850.25/292.61
  6. Step 6: Final answer
    x = 207.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.