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Finding the Fourth Proportional to 535.42, 803.10 and 165.22

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Solution

The fourth proportional to 535.42, 803.10 and 165.22 is: 247.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.42 : 803.10 = 165.22 : x
  2. Step 2: Convert to fraction form
    535.42/803.10 = 165.22/x
  3. Step 3: Cross multiply
    535.42x = 803.10 × 165.22
  4. Step 4: Simplify right side
    535.42x = 132,688.18
  5. Step 5: Solve for x
    x = 132,688.18/535.42
  6. Step 6: Final answer
    x = 247.82

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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.