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Finding the Fourth Proportional to 421.64, 632.16 and 177.96

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Solution

The fourth proportional to 421.64, 632.16 and 177.96 is: 266.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.64 : 632.16 = 177.96 : x
  2. Step 2: Convert to fraction form
    421.64/632.16 = 177.96/x
  3. Step 3: Cross multiply
    421.64x = 632.16 × 177.96
  4. Step 4: Simplify right side
    421.64x = 112,499.19
  5. Step 5: Solve for x
    x = 112,499.19/421.64
  6. Step 6: Final answer
    x = 266.82

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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.