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Finding the Fourth Proportional to 456.06, 683.48 and 182.00

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Solution

The fourth proportional to 456.06, 683.48 and 182.00 is: 272.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.06 : 683.48 = 182.00 : x
  2. Step 2: Convert to fraction form
    456.06/683.48 = 182.00/x
  3. Step 3: Cross multiply
    456.06x = 683.48 × 182.00
  4. Step 4: Simplify right side
    456.06x = 124,389.03
  5. Step 5: Solve for x
    x = 124,389.03/456.06
  6. Step 6: Final answer
    x = 272.75

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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.