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Finding the Fourth Proportional to 535.49, 803.02 and 188.81

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Solution

The fourth proportional to 535.49, 803.02 and 188.81 is: 283.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.49 : 803.02 = 188.81 : x
  2. Step 2: Convert to fraction form
    535.49/803.02 = 188.81/x
  3. Step 3: Cross multiply
    535.49x = 803.02 × 188.81
  4. Step 4: Simplify right side
    535.49x = 151,618.21
  5. Step 5: Solve for x
    x = 151,618.21/535.49
  6. Step 6: Final answer
    x = 283.14

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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.