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Finding the Fourth Proportional to 169.59, 233.76 and 153.03

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Solution

The fourth proportional to 169.59, 233.76 and 153.03 is: 210.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.59 : 233.76 = 153.03 : x
  2. Step 2: Convert to fraction form
    169.59/233.76 = 153.03/x
  3. Step 3: Cross multiply
    169.59x = 233.76 × 153.03
  4. Step 4: Simplify right side
    169.59x = 35,772.29
  5. Step 5: Solve for x
    x = 35,772.29/169.59
  6. Step 6: Final answer
    x = 210.93

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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.