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Finding the Fourth Proportional to 150.40, 207.35 and 101.17

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Solution

The fourth proportional to 150.40, 207.35 and 101.17 is: 139.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.40 : 207.35 = 101.17 : x
  2. Step 2: Convert to fraction form
    150.40/207.35 = 101.17/x
  3. Step 3: Cross multiply
    150.40x = 207.35 × 101.17
  4. Step 4: Simplify right side
    150.40x = 20,976.56
  5. Step 5: Solve for x
    x = 20,976.56/150.40
  6. Step 6: Final answer
    x = 139.48

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Why These Related Problems?

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