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Finding the Fourth Proportional to 169.07, 253.76 and 123.51

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Solution

The fourth proportional to 169.07, 253.76 and 123.51 is: 185.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.07 : 253.76 = 123.51 : x
  2. Step 2: Convert to fraction form
    169.07/253.76 = 123.51/x
  3. Step 3: Cross multiply
    169.07x = 253.76 × 123.51
  4. Step 4: Simplify right side
    169.07x = 31,341.28
  5. Step 5: Solve for x
    x = 31,341.28/169.07
  6. Step 6: Final answer
    x = 185.38

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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.