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Finding the Fourth Proportional to 307.40, 460.89 and 124.74

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Solution

The fourth proportional to 307.40, 460.89 and 124.74 is: 187.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.40 : 460.89 = 124.74 : x
  2. Step 2: Convert to fraction form
    307.40/460.89 = 124.74/x
  3. Step 3: Cross multiply
    307.40x = 460.89 × 124.74
  4. Step 4: Simplify right side
    307.40x = 57,491.42
  5. Step 5: Solve for x
    x = 57,491.42/307.40
  6. Step 6: Final answer
    x = 187.03

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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.