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Finding the Fourth Proportional to 307.71, 461.16 and 145.26

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Solution

The fourth proportional to 307.71, 461.16 and 145.26 is: 217.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.71 : 461.16 = 145.26 : x
  2. Step 2: Convert to fraction form
    307.71/461.16 = 145.26/x
  3. Step 3: Cross multiply
    307.71x = 461.16 × 145.26
  4. Step 4: Simplify right side
    307.71x = 66,988.10
  5. Step 5: Solve for x
    x = 66,988.10/307.71
  6. Step 6: Final answer
    x = 217.70

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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.