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Finding the Fourth Proportional to 500.28, 750.19 and 153.66

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Solution

The fourth proportional to 500.28, 750.19 and 153.66 is: 230.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.28 : 750.19 = 153.66 : x
  2. Step 2: Convert to fraction form
    500.28/750.19 = 153.66/x
  3. Step 3: Cross multiply
    500.28x = 750.19 × 153.66
  4. Step 4: Simplify right side
    500.28x = 115,274.20
  5. Step 5: Solve for x
    x = 115,274.20/500.28
  6. Step 6: Final answer
    x = 230.42

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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.