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Finding the Fourth Proportional to 535.91, 803.95 and 165.64

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Solution

The fourth proportional to 535.91, 803.95 and 165.64 is: 248.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.91 : 803.95 = 165.64 : x
  2. Step 2: Convert to fraction form
    535.91/803.95 = 165.64/x
  3. Step 3: Cross multiply
    535.91x = 803.95 × 165.64
  4. Step 4: Simplify right side
    535.91x = 133,166.28
  5. Step 5: Solve for x
    x = 133,166.28/535.91
  6. Step 6: Final answer
    x = 248.49

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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.