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Finding the Fourth Proportional to 330.75, 456.46 and 183.40

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Solution

The fourth proportional to 330.75, 456.46 and 183.40 is: 253.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.75 : 456.46 = 183.40 : x
  2. Step 2: Convert to fraction form
    330.75/456.46 = 183.40/x
  3. Step 3: Cross multiply
    330.75x = 456.46 × 183.40
  4. Step 4: Simplify right side
    330.75x = 83,711.56
  5. Step 5: Solve for x
    x = 83,711.56/330.75
  6. Step 6: Final answer
    x = 253.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.