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Finding the Fourth Proportional to 169.22, 253.62 and 123.53

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Solution

The fourth proportional to 169.22, 253.62 and 123.53 is: 185.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.22 : 253.62 = 123.53 : x
  2. Step 2: Convert to fraction form
    169.22/253.62 = 123.53/x
  3. Step 3: Cross multiply
    169.22x = 253.62 × 123.53
  4. Step 4: Simplify right side
    169.22x = 31,328.41
  5. Step 5: Solve for x
    x = 31,328.41/169.22
  6. Step 6: Final answer
    x = 185.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.