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Finding the Fourth Proportional to 456.59, 684.97 and 148.36

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Solution

The fourth proportional to 456.59, 684.97 and 148.36 is: 222.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.59 : 684.97 = 148.36 : x
  2. Step 2: Convert to fraction form
    456.59/684.97 = 148.36/x
  3. Step 3: Cross multiply
    456.59x = 684.97 × 148.36
  4. Step 4: Simplify right side
    456.59x = 101,620.07
  5. Step 5: Solve for x
    x = 101,620.07/456.59
  6. Step 6: Final answer
    x = 222.56

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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.