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Finding the Fourth Proportional to 155.78, 216 and 147.58

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Solution

The fourth proportional to 155.78, 216 and 147.58 is: 204.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.78 : 216 = 147.58 : x
  2. Step 2: Convert to fraction form
    155.78/216 = 147.58/x
  3. Step 3: Cross multiply
    155.78x = 216 × 147.58
  4. Step 4: Simplify right side
    155.78x = 31,877.28
  5. Step 5: Solve for x
    x = 31,877.28/155.78
  6. Step 6: Final answer
    x = 204.63

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.