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Finding the Fourth Proportional to 536.83, 805.40 and 171.65

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Solution

The fourth proportional to 536.83, 805.40 and 171.65 is: 257.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.83 : 805.40 = 171.65 : x
  2. Step 2: Convert to fraction form
    536.83/805.40 = 171.65/x
  3. Step 3: Cross multiply
    536.83x = 805.40 × 171.65
  4. Step 4: Simplify right side
    536.83x = 138,242.02
  5. Step 5: Solve for x
    x = 138,242.02/536.83
  6. Step 6: Final answer
    x = 257.52

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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.