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Finding the Fourth Proportional to 169.86, 253.54 and 157.82

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Solution

The fourth proportional to 169.86, 253.54 and 157.82 is: 235.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.86 : 253.54 = 157.82 : x
  2. Step 2: Convert to fraction form
    169.86/253.54 = 157.82/x
  3. Step 3: Cross multiply
    169.86x = 253.54 × 157.82
  4. Step 4: Simplify right side
    169.86x = 40,012.89
  5. Step 5: Solve for x
    x = 40,012.89/169.86
  6. Step 6: Final answer
    x = 235.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.