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Finding the Fourth Proportional to 307.42, 460.97 and 145.06

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Solution

The fourth proportional to 307.42, 460.97 and 145.06 is: 217.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.42 : 460.97 = 145.06 : x
  2. Step 2: Convert to fraction form
    307.42/460.97 = 145.06/x
  3. Step 3: Cross multiply
    307.42x = 460.97 × 145.06
  4. Step 4: Simplify right side
    307.42x = 66,868.31
  5. Step 5: Solve for x
    x = 66,868.31/307.42
  6. Step 6: Final answer
    x = 217.51

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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.