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Finding the Fourth Proportional to 307.13, 460.31 and 153.11

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Solution

The fourth proportional to 307.13, 460.31 and 153.11 is: 229.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.13 : 460.31 = 153.11 : x
  2. Step 2: Convert to fraction form
    307.13/460.31 = 153.11/x
  3. Step 3: Cross multiply
    307.13x = 460.31 × 153.11
  4. Step 4: Simplify right side
    307.13x = 70,477.30
  5. Step 5: Solve for x
    x = 70,477.30/307.13
  6. Step 6: Final answer
    x = 229.47

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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.