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Finding the Fourth Proportional to 169.16, 233.01 and 141.51

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Solution

The fourth proportional to 169.16, 233.01 and 141.51 is: 194.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.16 : 233.01 = 141.51 : x
  2. Step 2: Convert to fraction form
    169.16/233.01 = 141.51/x
  3. Step 3: Cross multiply
    169.16x = 233.01 × 141.51
  4. Step 4: Simplify right side
    169.16x = 32,973.25
  5. Step 5: Solve for x
    x = 32,973.25/169.16
  6. Step 6: Final answer
    x = 194.93

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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.