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Finding the Fourth Proportional to 318.70, 439.63 and 202.06

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Solution

The fourth proportional to 318.70, 439.63 and 202.06 is: 278.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.70 : 439.63 = 202.06 : x
  2. Step 2: Convert to fraction form
    318.70/439.63 = 202.06/x
  3. Step 3: Cross multiply
    318.70x = 439.63 × 202.06
  4. Step 4: Simplify right side
    318.70x = 88,831.64
  5. Step 5: Solve for x
    x = 88,831.64/318.70
  6. Step 6: Final answer
    x = 278.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.