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Finding the Fourth Proportional to 153.28, 228.54 and 140.27

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Solution

The fourth proportional to 153.28, 228.54 and 140.27 is: 209.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.28 : 228.54 = 140.27 : x
  2. Step 2: Convert to fraction form
    153.28/228.54 = 140.27/x
  3. Step 3: Cross multiply
    153.28x = 228.54 × 140.27
  4. Step 4: Simplify right side
    153.28x = 32,057.31
  5. Step 5: Solve for x
    x = 32,057.31/153.28
  6. Step 6: Final answer
    x = 209.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.