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Finding the Fourth Proportional to 307.50, 461.14 and 177.47

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Solution

The fourth proportional to 307.50, 461.14 and 177.47 is: 266.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.50 : 461.14 = 177.47 : x
  2. Step 2: Convert to fraction form
    307.50/461.14 = 177.47/x
  3. Step 3: Cross multiply
    307.50x = 461.14 × 177.47
  4. Step 4: Simplify right side
    307.50x = 81,838.52
  5. Step 5: Solve for x
    x = 81,838.52/307.50
  6. Step 6: Final answer
    x = 266.14

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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.