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Finding the Fourth Proportional to 307.66, 424.61 and 189.65

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Solution

The fourth proportional to 307.66, 424.61 and 189.65 is: 261.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.66 : 424.61 = 189.65 : x
  2. Step 2: Convert to fraction form
    307.66/424.61 = 189.65/x
  3. Step 3: Cross multiply
    307.66x = 424.61 × 189.65
  4. Step 4: Simplify right side
    307.66x = 80,526.34
  5. Step 5: Solve for x
    x = 80,526.34/307.66
  6. Step 6: Final answer
    x = 261.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.