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Finding the Fourth Proportional to 169.86, 253.53 and 148.14

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Solution

The fourth proportional to 169.86, 253.53 and 148.14 is: 221.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.86 : 253.53 = 148.14 : x
  2. Step 2: Convert to fraction form
    169.86/253.53 = 148.14/x
  3. Step 3: Cross multiply
    169.86x = 253.53 × 148.14
  4. Step 4: Simplify right side
    169.86x = 37,557.93
  5. Step 5: Solve for x
    x = 37,557.93/169.86
  6. Step 6: Final answer
    x = 221.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.