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Finding the Fourth Proportional to 401.55, 602.36 and 127.72

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Solution

The fourth proportional to 401.55, 602.36 and 127.72 is: 191.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.55 : 602.36 = 127.72 : x
  2. Step 2: Convert to fraction form
    401.55/602.36 = 127.72/x
  3. Step 3: Cross multiply
    401.55x = 602.36 × 127.72
  4. Step 4: Simplify right side
    401.55x = 76,933.42
  5. Step 5: Solve for x
    x = 76,933.42/401.55
  6. Step 6: Final answer
    x = 191.59

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