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Finding the Fourth Proportional to 253.51, 379.65 and 144.97

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Solution

The fourth proportional to 253.51, 379.65 and 144.97 is: 217.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.51 : 379.65 = 144.97 : x
  2. Step 2: Convert to fraction form
    253.51/379.65 = 144.97/x
  3. Step 3: Cross multiply
    253.51x = 379.65 × 144.97
  4. Step 4: Simplify right side
    253.51x = 55,037.86
  5. Step 5: Solve for x
    x = 55,037.86/253.51
  6. Step 6: Final answer
    x = 217.10

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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.