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Finding the Fourth Proportional to 166.64, 248.99 and 156.15

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Solution

The fourth proportional to 166.64, 248.99 and 156.15 is: 233.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.64 : 248.99 = 156.15 : x
  2. Step 2: Convert to fraction form
    166.64/248.99 = 156.15/x
  3. Step 3: Cross multiply
    166.64x = 248.99 × 156.15
  4. Step 4: Simplify right side
    166.64x = 38,879.01
  5. Step 5: Solve for x
    x = 38,879.01/166.64
  6. Step 6: Final answer
    x = 233.32

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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.