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Finding the Fourth Proportional to 242.01, 362.70 and 180.86

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Solution

The fourth proportional to 242.01, 362.70 and 180.86 is: 271.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.01 : 362.70 = 180.86 : x
  2. Step 2: Convert to fraction form
    242.01/362.70 = 180.86/x
  3. Step 3: Cross multiply
    242.01x = 362.70 × 180.86
  4. Step 4: Simplify right side
    242.01x = 65,596.11
  5. Step 5: Solve for x
    x = 65,596.11/242.01
  6. Step 6: Final answer
    x = 271.05

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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.