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Finding the Fourth Proportional to 536.78, 805.14 and 171.65

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Solution

The fourth proportional to 536.78, 805.14 and 171.65 is: 257.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.78 : 805.14 = 171.65 : x
  2. Step 2: Convert to fraction form
    536.78/805.14 = 171.65/x
  3. Step 3: Cross multiply
    536.78x = 805.14 × 171.65
  4. Step 4: Simplify right side
    536.78x = 138,198.26
  5. Step 5: Solve for x
    x = 138,198.26/536.78
  6. Step 6: Final answer
    x = 257.46

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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.