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Finding the Fourth Proportional to 158.34, 217.33 and 151.66

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Solution

The fourth proportional to 158.34, 217.33 and 151.66 is: 208.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.34 : 217.33 = 151.66 : x
  2. Step 2: Convert to fraction form
    158.34/217.33 = 151.66/x
  3. Step 3: Cross multiply
    158.34x = 217.33 × 151.66
  4. Step 4: Simplify right side
    158.34x = 32,960.27
  5. Step 5: Solve for x
    x = 32,960.27/158.34
  6. Step 6: Final answer
    x = 208.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.