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Finding the Fourth Proportional to 421.20, 632.07 and 177.53

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Solution

The fourth proportional to 421.20, 632.07 and 177.53 is: 266.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.20 : 632.07 = 177.53 : x
  2. Step 2: Convert to fraction form
    421.20/632.07 = 177.53/x
  3. Step 3: Cross multiply
    421.20x = 632.07 × 177.53
  4. Step 4: Simplify right side
    421.20x = 112,208.23
  5. Step 5: Solve for x
    x = 112,208.23/421.20
  6. Step 6: Final answer
    x = 266.40

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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.