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Finding the Fourth Proportional to 307.38, 460.84 and 140.64

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Solution

The fourth proportional to 307.38, 460.84 and 140.64 is: 210.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.38 : 460.84 = 140.64 : x
  2. Step 2: Convert to fraction form
    307.38/460.84 = 140.64/x
  3. Step 3: Cross multiply
    307.38x = 460.84 × 140.64
  4. Step 4: Simplify right side
    307.38x = 64,812.54
  5. Step 5: Solve for x
    x = 64,812.54/307.38
  6. Step 6: Final answer
    x = 210.85

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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.