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Finding the Fourth Proportional to 330.42, 456.00 and 183.07

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Solution

The fourth proportional to 330.42, 456.00 and 183.07 is: 252.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.42 : 456.00 = 183.07 : x
  2. Step 2: Convert to fraction form
    330.42/456.00 = 183.07/x
  3. Step 3: Cross multiply
    330.42x = 456.00 × 183.07
  4. Step 4: Simplify right side
    330.42x = 83,479.80
  5. Step 5: Solve for x
    x = 83,479.80/330.42
  6. Step 6: Final answer
    x = 252.64

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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.