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Finding the Fourth Proportional to 456.64, 685 and 132

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Solution

The fourth proportional to 456.64, 685 and 132 is: 198.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.64 : 685 = 132 : x
  2. Step 2: Convert to fraction form
    456.64/685 = 132/x
  3. Step 3: Cross multiply
    456.64x = 685 × 132
  4. Step 4: Simplify right side
    456.64x = 90,420
  5. Step 5: Solve for x
    x = 90,420/456.64
  6. Step 6: Final answer
    x = 198.01

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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.