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Finding the Fourth Proportional to 292.38, 438.36 and 155.30

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Solution

The fourth proportional to 292.38, 438.36 and 155.30 is: 232.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.38 : 438.36 = 155.30 : x
  2. Step 2: Convert to fraction form
    292.38/438.36 = 155.30/x
  3. Step 3: Cross multiply
    292.38x = 438.36 × 155.30
  4. Step 4: Simplify right side
    292.38x = 68,077.31
  5. Step 5: Solve for x
    x = 68,077.31/292.38
  6. Step 6: Final answer
    x = 232.84

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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.