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Finding the Fourth Proportional to 421.30, 631.50 and 177.76

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Solution

The fourth proportional to 421.30, 631.50 and 177.76 is: 266.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.30 : 631.50 = 177.76 : x
  2. Step 2: Convert to fraction form
    421.30/631.50 = 177.76/x
  3. Step 3: Cross multiply
    421.30x = 631.50 × 177.76
  4. Step 4: Simplify right side
    421.30x = 112,255.44
  5. Step 5: Solve for x
    x = 112,255.44/421.30
  6. Step 6: Final answer
    x = 266.45

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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.