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Finding the Fourth Proportional to 307.65, 461.47 and 91.23

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Solution

The fourth proportional to 307.65, 461.47 and 91.23 is: 136.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.65 : 461.47 = 91.23 : x
  2. Step 2: Convert to fraction form
    307.65/461.47 = 91.23/x
  3. Step 3: Cross multiply
    307.65x = 461.47 × 91.23
  4. Step 4: Simplify right side
    307.65x = 42,099.91
  5. Step 5: Solve for x
    x = 42,099.91/307.65
  6. Step 6: Final answer
    x = 136.84

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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.