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Finding the Fourth Proportional to 169.24, 253.59 and 123.16

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Solution

The fourth proportional to 169.24, 253.59 and 123.16 is: 184.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.24 : 253.59 = 123.16 : x
  2. Step 2: Convert to fraction form
    169.24/253.59 = 123.16/x
  3. Step 3: Cross multiply
    169.24x = 253.59 × 123.16
  4. Step 4: Simplify right side
    169.24x = 31,232.14
  5. Step 5: Solve for x
    x = 31,232.14/169.24
  6. Step 6: Final answer
    x = 184.54

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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.