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Finding the Fourth Proportional to 207.81, 286.38 and 165.74

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Solution

The fourth proportional to 207.81, 286.38 and 165.74 is: 228.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.81 : 286.38 = 165.74 : x
  2. Step 2: Convert to fraction form
    207.81/286.38 = 165.74/x
  3. Step 3: Cross multiply
    207.81x = 286.38 × 165.74
  4. Step 4: Simplify right side
    207.81x = 47,463.19
  5. Step 5: Solve for x
    x = 47,463.19/207.81
  6. Step 6: Final answer
    x = 228.40

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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.