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Finding the Fourth Proportional to 158.85, 220.07 and 155.07

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Solution

The fourth proportional to 158.85, 220.07 and 155.07 is: 214.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.85 : 220.07 = 155.07 : x
  2. Step 2: Convert to fraction form
    158.85/220.07 = 155.07/x
  3. Step 3: Cross multiply
    158.85x = 220.07 × 155.07
  4. Step 4: Simplify right side
    158.85x = 34,126.25
  5. Step 5: Solve for x
    x = 34,126.25/158.85
  6. Step 6: Final answer
    x = 214.83

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.