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Finding the Fourth Proportional to 307.56, 461.29 and 102.11

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Solution

The fourth proportional to 307.56, 461.29 and 102.11 is: 153.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.56 : 461.29 = 102.11 : x
  2. Step 2: Convert to fraction form
    307.56/461.29 = 102.11/x
  3. Step 3: Cross multiply
    307.56x = 461.29 × 102.11
  4. Step 4: Simplify right side
    307.56x = 47,100.91
  5. Step 5: Solve for x
    x = 47,100.91/307.56
  6. Step 6: Final answer
    x = 153.14

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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.