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Finding the Fourth Proportional to 456.43, 684.57 and 148.50

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Solution

The fourth proportional to 456.43, 684.57 and 148.50 is: 222.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.43 : 684.57 = 148.50 : x
  2. Step 2: Convert to fraction form
    456.43/684.57 = 148.50/x
  3. Step 3: Cross multiply
    456.43x = 684.57 × 148.50
  4. Step 4: Simplify right side
    456.43x = 101,661.21
  5. Step 5: Solve for x
    x = 101,661.21/456.43
  6. Step 6: Final answer
    x = 222.73

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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.