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Finding the Fourth Proportional to 456.02, 684 and 148.09

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Solution

The fourth proportional to 456.02, 684 and 148.09 is: 222.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.02 : 684 = 148.09 : x
  2. Step 2: Convert to fraction form
    456.02/684 = 148.09/x
  3. Step 3: Cross multiply
    456.02x = 684 × 148.09
  4. Step 4: Simplify right side
    456.02x = 101,293.56
  5. Step 5: Solve for x
    x = 101,293.56/456.02
  6. Step 6: Final answer
    x = 222.13

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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.