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Finding the Fourth Proportional to 567.90, 851.74 and 156.96

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Solution

The fourth proportional to 567.90, 851.74 and 156.96 is: 235.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.90 : 851.74 = 156.96 : x
  2. Step 2: Convert to fraction form
    567.90/851.74 = 156.96/x
  3. Step 3: Cross multiply
    567.90x = 851.74 × 156.96
  4. Step 4: Simplify right side
    567.90x = 133,689.11
  5. Step 5: Solve for x
    x = 133,689.11/567.90
  6. Step 6: Final answer
    x = 235.41

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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.