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Finding the Fourth Proportional to 158.69, 217.11 and 158.01

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Solution

The fourth proportional to 158.69, 217.11 and 158.01 is: 216.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.69 : 217.11 = 158.01 : x
  2. Step 2: Convert to fraction form
    158.69/217.11 = 158.01/x
  3. Step 3: Cross multiply
    158.69x = 217.11 × 158.01
  4. Step 4: Simplify right side
    158.69x = 34,305.55
  5. Step 5: Solve for x
    x = 34,305.55/158.69
  6. Step 6: Final answer
    x = 216.18

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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.