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Finding the Fourth Proportional to 307.46, 424.20 and 176.42

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Solution

The fourth proportional to 307.46, 424.20 and 176.42 is: 243.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.46 : 424.20 = 176.42 : x
  2. Step 2: Convert to fraction form
    307.46/424.20 = 176.42/x
  3. Step 3: Cross multiply
    307.46x = 424.20 × 176.42
  4. Step 4: Simplify right side
    307.46x = 74,837.36
  5. Step 5: Solve for x
    x = 74,837.36/307.46
  6. Step 6: Final answer
    x = 243.41

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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.