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Finding the Fourth Proportional to 420.65, 630.82 and 177.19

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Solution

The fourth proportional to 420.65, 630.82 and 177.19 is: 265.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.65 : 630.82 = 177.19 : x
  2. Step 2: Convert to fraction form
    420.65/630.82 = 177.19/x
  3. Step 3: Cross multiply
    420.65x = 630.82 × 177.19
  4. Step 4: Simplify right side
    420.65x = 111,777.19
  5. Step 5: Solve for x
    x = 111,777.19/420.65
  6. Step 6: Final answer
    x = 265.73

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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.