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Finding the Fourth Proportional to 249, 373.64 and 120.75

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Solution

The fourth proportional to 249, 373.64 and 120.75 is: 181.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    249 : 373.64 = 120.75 : x
  2. Step 2: Convert to fraction form
    249/373.64 = 120.75/x
  3. Step 3: Cross multiply
    249x = 373.64 × 120.75
  4. Step 4: Simplify right side
    249x = 45,116.43
  5. Step 5: Solve for x
    x = 45,116.43/249
  6. Step 6: Final answer
    x = 181.19

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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.