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Finding the Fourth Proportional to 243.58, 365.02 and 156.76

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Solution

The fourth proportional to 243.58, 365.02 and 156.76 is: 234.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.58 : 365.02 = 156.76 : x
  2. Step 2: Convert to fraction form
    243.58/365.02 = 156.76/x
  3. Step 3: Cross multiply
    243.58x = 365.02 × 156.76
  4. Step 4: Simplify right side
    243.58x = 57,220.54
  5. Step 5: Solve for x
    x = 57,220.54/243.58
  6. Step 6: Final answer
    x = 234.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.