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Finding the Fourth Proportional to 312.41, 430.42 and 242.22

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Solution

The fourth proportional to 312.41, 430.42 and 242.22 is: 333.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.41 : 430.42 = 242.22 : x
  2. Step 2: Convert to fraction form
    312.41/430.42 = 242.22/x
  3. Step 3: Cross multiply
    312.41x = 430.42 × 242.22
  4. Step 4: Simplify right side
    312.41x = 104,256.33
  5. Step 5: Solve for x
    x = 104,256.33/312.41
  6. Step 6: Final answer
    x = 333.72

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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.