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Finding the Fourth Proportional to 448.73, 673.16 and 188.75

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Solution

The fourth proportional to 448.73, 673.16 and 188.75 is: 283.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.73 : 673.16 = 188.75 : x
  2. Step 2: Convert to fraction form
    448.73/673.16 = 188.75/x
  3. Step 3: Cross multiply
    448.73x = 673.16 × 188.75
  4. Step 4: Simplify right side
    448.73x = 127,057.74
  5. Step 5: Solve for x
    x = 127,057.74/448.73
  6. Step 6: Final answer
    x = 283.15

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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.