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Finding the Fourth Proportional to 292.56, 438.31 and 155.29

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Solution

The fourth proportional to 292.56, 438.31 and 155.29 is: 232.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.56 : 438.31 = 155.29 : x
  2. Step 2: Convert to fraction form
    292.56/438.31 = 155.29/x
  3. Step 3: Cross multiply
    292.56x = 438.31 × 155.29
  4. Step 4: Simplify right side
    292.56x = 68,065.16
  5. Step 5: Solve for x
    x = 68,065.16/292.56
  6. Step 6: Final answer
    x = 232.65

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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.