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Finding the Fourth Proportional to 330.77, 456.42 and 183.41

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Solution

The fourth proportional to 330.77, 456.42 and 183.41 is: 253.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.77 : 456.42 = 183.41 : x
  2. Step 2: Convert to fraction form
    330.77/456.42 = 183.41/x
  3. Step 3: Cross multiply
    330.77x = 456.42 × 183.41
  4. Step 4: Simplify right side
    330.77x = 83,711.71
  5. Step 5: Solve for x
    x = 83,711.71/330.77
  6. Step 6: Final answer
    x = 253.08

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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.