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Finding the Fourth Proportional to 401.77, 602.25 and 158.20

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Solution

The fourth proportional to 401.77, 602.25 and 158.20 is: 237.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.77 : 602.25 = 158.20 : x
  2. Step 2: Convert to fraction form
    401.77/602.25 = 158.20/x
  3. Step 3: Cross multiply
    401.77x = 602.25 × 158.20
  4. Step 4: Simplify right side
    401.77x = 95,275.95
  5. Step 5: Solve for x
    x = 95,275.95/401.77
  6. Step 6: Final answer
    x = 237.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.