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Finding the Fourth Proportional to 536.77, 805.26 and 171.50

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Solution

The fourth proportional to 536.77, 805.26 and 171.50 is: 257.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.77 : 805.26 = 171.50 : x
  2. Step 2: Convert to fraction form
    536.77/805.26 = 171.50/x
  3. Step 3: Cross multiply
    536.77x = 805.26 × 171.50
  4. Step 4: Simplify right side
    536.77x = 138,102.09
  5. Step 5: Solve for x
    x = 138,102.09/536.77
  6. Step 6: Final answer
    x = 257.28

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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.