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Finding the Fourth Proportional to 307.18, 460.91 and 177.18

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Solution

The fourth proportional to 307.18, 460.91 and 177.18 is: 265.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.18 : 460.91 = 177.18 : x
  2. Step 2: Convert to fraction form
    307.18/460.91 = 177.18/x
  3. Step 3: Cross multiply
    307.18x = 460.91 × 177.18
  4. Step 4: Simplify right side
    307.18x = 81,664.03
  5. Step 5: Solve for x
    x = 81,664.03/307.18
  6. Step 6: Final answer
    x = 265.85

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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.