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Finding the Fourth Proportional to 155.14, 215.49 and 152.66

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Solution

The fourth proportional to 155.14, 215.49 and 152.66 is: 212.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.14 : 215.49 = 152.66 : x
  2. Step 2: Convert to fraction form
    155.14/215.49 = 152.66/x
  3. Step 3: Cross multiply
    155.14x = 215.49 × 152.66
  4. Step 4: Simplify right side
    155.14x = 32,896.00
  5. Step 5: Solve for x
    x = 32,896.00/155.14
  6. Step 6: Final answer
    x = 212.05

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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.