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Finding the Fourth Proportional to 250.70, 345.87 and 147.14

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Solution

The fourth proportional to 250.70, 345.87 and 147.14 is: 203.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.70 : 345.87 = 147.14 : x
  2. Step 2: Convert to fraction form
    250.70/345.87 = 147.14/x
  3. Step 3: Cross multiply
    250.70x = 345.87 × 147.14
  4. Step 4: Simplify right side
    250.70x = 50,891.31
  5. Step 5: Solve for x
    x = 50,891.31/250.70
  6. Step 6: Final answer
    x = 203.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.