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Finding the Fourth Proportional to 456.31, 684.31 and 148.09

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Solution

The fourth proportional to 456.31, 684.31 and 148.09 is: 222.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.31 : 684.31 = 148.09 : x
  2. Step 2: Convert to fraction form
    456.31/684.31 = 148.09/x
  3. Step 3: Cross multiply
    456.31x = 684.31 × 148.09
  4. Step 4: Simplify right side
    456.31x = 101,336.42
  5. Step 5: Solve for x
    x = 101,336.42/456.31
  6. Step 6: Final answer
    x = 222.08

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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.