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Finding the Fourth Proportional to 180.76, 248.84 and 156.06

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Solution

The fourth proportional to 180.76, 248.84 and 156.06 is: 214.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.76 : 248.84 = 156.06 : x
  2. Step 2: Convert to fraction form
    180.76/248.84 = 156.06/x
  3. Step 3: Cross multiply
    180.76x = 248.84 × 156.06
  4. Step 4: Simplify right side
    180.76x = 38,833.97
  5. Step 5: Solve for x
    x = 38,833.97/180.76
  6. Step 6: Final answer
    x = 214.84

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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.