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Finding the Fourth Proportional to 166.68, 248.76 and 146.16

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Solution

The fourth proportional to 166.68, 248.76 and 146.16 is: 218.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.68 : 248.76 = 146.16 : x
  2. Step 2: Convert to fraction form
    166.68/248.76 = 146.16/x
  3. Step 3: Cross multiply
    166.68x = 248.76 × 146.16
  4. Step 4: Simplify right side
    166.68x = 36,358.76
  5. Step 5: Solve for x
    x = 36,358.76/166.68
  6. Step 6: Final answer
    x = 218.14

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Why These Related Problems?

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