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Finding the Fourth Proportional to 155.58, 232.65 and 138.57

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Solution

The fourth proportional to 155.58, 232.65 and 138.57 is: 207.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.58 : 232.65 = 138.57 : x
  2. Step 2: Convert to fraction form
    155.58/232.65 = 138.57/x
  3. Step 3: Cross multiply
    155.58x = 232.65 × 138.57
  4. Step 4: Simplify right side
    155.58x = 32,238.31
  5. Step 5: Solve for x
    x = 32,238.31/155.58
  6. Step 6: Final answer
    x = 207.21

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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.