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Finding the Fourth Proportional to 253.86, 350.55 and 166.74

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Solution

The fourth proportional to 253.86, 350.55 and 166.74 is: 230.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.86 : 350.55 = 166.74 : x
  2. Step 2: Convert to fraction form
    253.86/350.55 = 166.74/x
  3. Step 3: Cross multiply
    253.86x = 350.55 × 166.74
  4. Step 4: Simplify right side
    253.86x = 58,450.71
  5. Step 5: Solve for x
    x = 58,450.71/253.86
  6. Step 6: Final answer
    x = 230.25

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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.