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Finding the Fourth Proportional to 536.85, 805.20 and 171.65

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Solution

The fourth proportional to 536.85, 805.20 and 171.65 is: 257.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.85 : 805.20 = 171.65 : x
  2. Step 2: Convert to fraction form
    536.85/805.20 = 171.65/x
  3. Step 3: Cross multiply
    536.85x = 805.20 × 171.65
  4. Step 4: Simplify right side
    536.85x = 138,208.55
  5. Step 5: Solve for x
    x = 138,208.55/536.85
  6. Step 6: Final answer
    x = 257.44

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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.