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Finding the Fourth Proportional to 292.06, 438.01 and 86.57

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Solution

The fourth proportional to 292.06, 438.01 and 86.57 is: 129.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.06 : 438.01 = 86.57 : x
  2. Step 2: Convert to fraction form
    292.06/438.01 = 86.57/x
  3. Step 3: Cross multiply
    292.06x = 438.01 × 86.57
  4. Step 4: Simplify right side
    292.06x = 37,917.76
  5. Step 5: Solve for x
    x = 37,917.76/292.06
  6. Step 6: Final answer
    x = 129.83

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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.