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Finding the Fourth Proportional to 307.87, 461.63 and 153.70

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Solution

The fourth proportional to 307.87, 461.63 and 153.70 is: 230.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.87 : 461.63 = 153.70 : x
  2. Step 2: Convert to fraction form
    307.87/461.63 = 153.70/x
  3. Step 3: Cross multiply
    307.87x = 461.63 × 153.70
  4. Step 4: Simplify right side
    307.87x = 70,951.76
  5. Step 5: Solve for x
    x = 70,951.76/307.87
  6. Step 6: Final answer
    x = 230.46

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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.