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Finding the Fourth Proportional to 567.36, 851.12 and 182.48

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Solution

The fourth proportional to 567.36, 851.12 and 182.48 is: 273.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.36 : 851.12 = 182.48 : x
  2. Step 2: Convert to fraction form
    567.36/851.12 = 182.48/x
  3. Step 3: Cross multiply
    567.36x = 851.12 × 182.48
  4. Step 4: Simplify right side
    567.36x = 155,312.38
  5. Step 5: Solve for x
    x = 155,312.38/567.36
  6. Step 6: Final answer
    x = 273.75

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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.