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Finding the Fourth Proportional to 250.09, 375.14 and 147.42

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Solution

The fourth proportional to 250.09, 375.14 and 147.42 is: 221.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.09 : 375.14 = 147.42 : x
  2. Step 2: Convert to fraction form
    250.09/375.14 = 147.42/x
  3. Step 3: Cross multiply
    250.09x = 375.14 × 147.42
  4. Step 4: Simplify right side
    250.09x = 55,303.51
  5. Step 5: Solve for x
    x = 55,303.51/250.09
  6. Step 6: Final answer
    x = 221.14

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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.