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Finding the Fourth Proportional to 307.70, 461.47 and 153.49

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Solution

The fourth proportional to 307.70, 461.47 and 153.49 is: 230.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.70 : 461.47 = 153.49 : x
  2. Step 2: Convert to fraction form
    307.70/461.47 = 153.49/x
  3. Step 3: Cross multiply
    307.70x = 461.47 × 153.49
  4. Step 4: Simplify right side
    307.70x = 70,831.03
  5. Step 5: Solve for x
    x = 70,831.03/307.70
  6. Step 6: Final answer
    x = 230.20

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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.