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Finding the Fourth Proportional to 292.78, 439.23 and 87.36

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Solution

The fourth proportional to 292.78, 439.23 and 87.36 is: 131.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.78 : 439.23 = 87.36 : x
  2. Step 2: Convert to fraction form
    292.78/439.23 = 87.36/x
  3. Step 3: Cross multiply
    292.78x = 439.23 × 87.36
  4. Step 4: Simplify right side
    292.78x = 38,371.13
  5. Step 5: Solve for x
    x = 38,371.13/292.78
  6. Step 6: Final answer
    x = 131.06

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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.