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Finding the Fourth Proportional to 307.72, 461.15 and 238.93

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Solution

The fourth proportional to 307.72, 461.15 and 238.93 is: 358.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.72 : 461.15 = 238.93 : x
  2. Step 2: Convert to fraction form
    307.72/461.15 = 238.93/x
  3. Step 3: Cross multiply
    307.72x = 461.15 × 238.93
  4. Step 4: Simplify right side
    307.72x = 110,182.57
  5. Step 5: Solve for x
    x = 110,182.57/307.72
  6. Step 6: Final answer
    x = 358.06

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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.