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Finding the Fourth Proportional to 567.32, 850.95 and 182.54

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Solution

The fourth proportional to 567.32, 850.95 and 182.54 is: 273.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.32 : 850.95 = 182.54 : x
  2. Step 2: Convert to fraction form
    567.32/850.95 = 182.54/x
  3. Step 3: Cross multiply
    567.32x = 850.95 × 182.54
  4. Step 4: Simplify right side
    567.32x = 155,332.41
  5. Step 5: Solve for x
    x = 155,332.41/567.32
  6. Step 6: Final answer
    x = 273.80

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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.