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Finding the Fourth Proportional to 535.64, 803.46 and 150.89

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Solution

The fourth proportional to 535.64, 803.46 and 150.89 is: 226.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.64 : 803.46 = 150.89 : x
  2. Step 2: Convert to fraction form
    535.64/803.46 = 150.89/x
  3. Step 3: Cross multiply
    535.64x = 803.46 × 150.89
  4. Step 4: Simplify right side
    535.64x = 121,234.08
  5. Step 5: Solve for x
    x = 121,234.08/535.64
  6. Step 6: Final answer
    x = 226.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.