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Finding the Fourth Proportional to 448.30, 672.46 and 188.15

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Solution

The fourth proportional to 448.30, 672.46 and 188.15 is: 282.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.30 : 672.46 = 188.15 : x
  2. Step 2: Convert to fraction form
    448.30/672.46 = 188.15/x
  3. Step 3: Cross multiply
    448.30x = 672.46 × 188.15
  4. Step 4: Simplify right side
    448.30x = 126,524.56
  5. Step 5: Solve for x
    x = 126,524.56/448.30
  6. Step 6: Final answer
    x = 282.23

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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.