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Finding the Fourth Proportional to 166, 247.35 and 147.83

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Solution

The fourth proportional to 166, 247.35 and 147.83 is: 220.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    166 : 247.35 = 147.83 : x
  2. Step 2: Convert to fraction form
    166/247.35 = 147.83/x
  3. Step 3: Cross multiply
    166x = 247.35 × 147.83
  4. Step 4: Simplify right side
    166x = 36,564.51
  5. Step 5: Solve for x
    x = 36,564.51/166
  6. Step 6: Final answer
    x = 220.27

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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.