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Finding the Fourth Proportional to 207.18, 286.28 and 148.86

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Solution

The fourth proportional to 207.18, 286.28 and 148.86 is: 205.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.18 : 286.28 = 148.86 : x
  2. Step 2: Convert to fraction form
    207.18/286.28 = 148.86/x
  3. Step 3: Cross multiply
    207.18x = 286.28 × 148.86
  4. Step 4: Simplify right side
    207.18x = 42,615.64
  5. Step 5: Solve for x
    x = 42,615.64/207.18
  6. Step 6: Final answer
    x = 205.69

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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.