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Finding the Fourth Proportional to 150.29, 206.78 and 117.48

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Solution

The fourth proportional to 150.29, 206.78 and 117.48 is: 161.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.29 : 206.78 = 117.48 : x
  2. Step 2: Convert to fraction form
    150.29/206.78 = 117.48/x
  3. Step 3: Cross multiply
    150.29x = 206.78 × 117.48
  4. Step 4: Simplify right side
    150.29x = 24,291.93
  5. Step 5: Solve for x
    x = 24,291.93/150.29
  6. Step 6: Final answer
    x = 161.64

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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.