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Finding the Fourth Proportional to 307.70, 424.66 and 176.68

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Solution

The fourth proportional to 307.70, 424.66 and 176.68 is: 243.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.70 : 424.66 = 176.68 : x
  2. Step 2: Convert to fraction form
    307.70/424.66 = 176.68/x
  3. Step 3: Cross multiply
    307.70x = 424.66 × 176.68
  4. Step 4: Simplify right side
    307.70x = 75,028.93
  5. Step 5: Solve for x
    x = 75,028.93/307.70
  6. Step 6: Final answer
    x = 243.84

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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.