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Finding the Fourth Proportional to 292.31, 438.54 and 155.32

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Solution

The fourth proportional to 292.31, 438.54 and 155.32 is: 233.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.31 : 438.54 = 155.32 : x
  2. Step 2: Convert to fraction form
    292.31/438.54 = 155.32/x
  3. Step 3: Cross multiply
    292.31x = 438.54 × 155.32
  4. Step 4: Simplify right side
    292.31x = 68,112.79
  5. Step 5: Solve for x
    x = 68,112.79/292.31
  6. Step 6: Final answer
    x = 233.02

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