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Finding the Fourth Proportional to 155.52, 230.85 and 145.40

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Solution

The fourth proportional to 155.52, 230.85 and 145.40 is: 215.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.52 : 230.85 = 145.40 : x
  2. Step 2: Convert to fraction form
    155.52/230.85 = 145.40/x
  3. Step 3: Cross multiply
    155.52x = 230.85 × 145.40
  4. Step 4: Simplify right side
    155.52x = 33,564.44
  5. Step 5: Solve for x
    x = 33,564.44/155.52
  6. Step 6: Final answer
    x = 215.82

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.