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Finding the Fourth Proportional to 421.12, 631.76 and 177.64

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Solution

The fourth proportional to 421.12, 631.76 and 177.64 is: 266.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.12 : 631.76 = 177.64 : x
  2. Step 2: Convert to fraction form
    421.12/631.76 = 177.64/x
  3. Step 3: Cross multiply
    421.12x = 631.76 × 177.64
  4. Step 4: Simplify right side
    421.12x = 112,227.43
  5. Step 5: Solve for x
    x = 112,227.43/421.12
  6. Step 6: Final answer
    x = 266.50

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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.