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Finding the Fourth Proportional to 169.30, 233.13 and 165.86

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Solution

The fourth proportional to 169.30, 233.13 and 165.86 is: 228.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.30 : 233.13 = 165.86 : x
  2. Step 2: Convert to fraction form
    169.30/233.13 = 165.86/x
  3. Step 3: Cross multiply
    169.30x = 233.13 × 165.86
  4. Step 4: Simplify right side
    169.30x = 38,666.94
  5. Step 5: Solve for x
    x = 38,666.94/169.30
  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.