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Finding the Fourth Proportional to 171.65, 236.70 and 156.66

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Solution

The fourth proportional to 171.65, 236.70 and 156.66 is: 216.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.65 : 236.70 = 156.66 : x
  2. Step 2: Convert to fraction form
    171.65/236.70 = 156.66/x
  3. Step 3: Cross multiply
    171.65x = 236.70 × 156.66
  4. Step 4: Simplify right side
    171.65x = 37,081.42
  5. Step 5: Solve for x
    x = 37,081.42/171.65
  6. Step 6: Final answer
    x = 216.04

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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.