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Finding the Fourth Proportional to 421.16, 631.80 and 177.64

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Solution

The fourth proportional to 421.16, 631.80 and 177.64 is: 266.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.16 : 631.80 = 177.64 : x
  2. Step 2: Convert to fraction form
    421.16/631.80 = 177.64/x
  3. Step 3: Cross multiply
    421.16x = 631.80 × 177.64
  4. Step 4: Simplify right side
    421.16x = 112,232.95
  5. Step 5: Solve for x
    x = 112,232.95/421.16
  6. Step 6: Final answer
    x = 266.49

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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.