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Finding the Fourth Proportional to 567.81, 851.74 and 156.95

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Solution

The fourth proportional to 567.81, 851.74 and 156.95 is: 235.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.81 : 851.74 = 156.95 : x
  2. Step 2: Convert to fraction form
    567.81/851.74 = 156.95/x
  3. Step 3: Cross multiply
    567.81x = 851.74 × 156.95
  4. Step 4: Simplify right side
    567.81x = 133,680.59
  5. Step 5: Solve for x
    x = 133,680.59/567.81
  6. Step 6: Final answer
    x = 235.43

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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.