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Finding the Fourth Proportional to 448.60, 672.90 and 188.68

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Solution

The fourth proportional to 448.60, 672.90 and 188.68 is: 283.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.60 : 672.90 = 188.68 : x
  2. Step 2: Convert to fraction form
    448.60/672.90 = 188.68/x
  3. Step 3: Cross multiply
    448.60x = 672.90 × 188.68
  4. Step 4: Simplify right side
    448.60x = 126,962.77
  5. Step 5: Solve for x
    x = 126,962.77/448.60
  6. Step 6: Final answer
    x = 283.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.