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Finding the Fourth Proportional to 307.19, 460.78 and 124.46

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Solution

The fourth proportional to 307.19, 460.78 and 124.46 is: 186.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.19 : 460.78 = 124.46 : x
  2. Step 2: Convert to fraction form
    307.19/460.78 = 124.46/x
  3. Step 3: Cross multiply
    307.19x = 460.78 × 124.46
  4. Step 4: Simplify right side
    307.19x = 57,345.75
  5. Step 5: Solve for x
    x = 57,345.75/307.19
  6. Step 6: Final answer
    x = 186.68

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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.