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Finding the Fourth Proportional to 242.39, 361.46 and 215.06

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Solution

The fourth proportional to 242.39, 361.46 and 215.06 is: 320.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.39 : 361.46 = 215.06 : x
  2. Step 2: Convert to fraction form
    242.39/361.46 = 215.06/x
  3. Step 3: Cross multiply
    242.39x = 361.46 × 215.06
  4. Step 4: Simplify right side
    242.39x = 77,734.32
  5. Step 5: Solve for x
    x = 77,734.32/242.39
  6. Step 6: Final answer
    x = 320.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.