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Finding the Fourth Proportional to 307.12, 460.68 and 144.76

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Solution

The fourth proportional to 307.12, 460.68 and 144.76 is: 217.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.12 : 460.68 = 144.76 : x
  2. Step 2: Convert to fraction form
    307.12/460.68 = 144.76/x
  3. Step 3: Cross multiply
    307.12x = 460.68 × 144.76
  4. Step 4: Simplify right side
    307.12x = 66,688.04
  5. Step 5: Solve for x
    x = 66,688.04/307.12
  6. Step 6: Final answer
    x = 217.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.