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Finding the Fourth Proportional to 292.12, 438.24 and 127.56

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Solution

The fourth proportional to 292.12, 438.24 and 127.56 is: 191.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.12 : 438.24 = 127.56 : x
  2. Step 2: Convert to fraction form
    292.12/438.24 = 127.56/x
  3. Step 3: Cross multiply
    292.12x = 438.24 × 127.56
  4. Step 4: Simplify right side
    292.12x = 55,901.89
  5. Step 5: Solve for x
    x = 55,901.89/292.12
  6. Step 6: Final answer
    x = 191.37

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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.