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Finding the Fourth Proportional to 421.40, 632.18 and 177.79

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Solution

The fourth proportional to 421.40, 632.18 and 177.79 is: 266.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.40 : 632.18 = 177.79 : x
  2. Step 2: Convert to fraction form
    421.40/632.18 = 177.79/x
  3. Step 3: Cross multiply
    421.40x = 632.18 × 177.79
  4. Step 4: Simplify right side
    421.40x = 112,395.97
  5. Step 5: Solve for x
    x = 112,395.97/421.40
  6. Step 6: Final answer
    x = 266.72

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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.