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Finding the Fourth Proportional to 242.22, 365.08 and 229.02

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Solution

The fourth proportional to 242.22, 365.08 and 229.02 is: 345.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.22 : 365.08 = 229.02 : x
  2. Step 2: Convert to fraction form
    242.22/365.08 = 229.02/x
  3. Step 3: Cross multiply
    242.22x = 365.08 × 229.02
  4. Step 4: Simplify right side
    242.22x = 83,610.62
  5. Step 5: Solve for x
    x = 83,610.62/242.22
  6. Step 6: Final answer
    x = 345.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.