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Finding the Fourth Proportional to 401.60, 602.55 and 158.30

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Solution

The fourth proportional to 401.60, 602.55 and 158.30 is: 237.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.60 : 602.55 = 158.30 : x
  2. Step 2: Convert to fraction form
    401.60/602.55 = 158.30/x
  3. Step 3: Cross multiply
    401.60x = 602.55 × 158.30
  4. Step 4: Simplify right side
    401.60x = 95,383.67
  5. Step 5: Solve for x
    x = 95,383.67/401.60
  6. Step 6: Final answer
    x = 237.51

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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.