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Finding the Fourth Proportional to 448.32, 672.50 and 123.68

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Solution

The fourth proportional to 448.32, 672.50 and 123.68 is: 185.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.32 : 672.50 = 123.68 : x
  2. Step 2: Convert to fraction form
    448.32/672.50 = 123.68/x
  3. Step 3: Cross multiply
    448.32x = 672.50 × 123.68
  4. Step 4: Simplify right side
    448.32x = 83,174.80
  5. Step 5: Solve for x
    x = 83,174.80/448.32
  6. Step 6: Final answer
    x = 185.53

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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.