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Finding the Fourth Proportional to 307.52, 423.86 and 229.76

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Solution

The fourth proportional to 307.52, 423.86 and 229.76 is: 316.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.52 : 423.86 = 229.76 : x
  2. Step 2: Convert to fraction form
    307.52/423.86 = 229.76/x
  3. Step 3: Cross multiply
    307.52x = 423.86 × 229.76
  4. Step 4: Simplify right side
    307.52x = 97,386.07
  5. Step 5: Solve for x
    x = 97,386.07/307.52
  6. Step 6: Final answer
    x = 316.68

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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.