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Finding the Fourth Proportional to 532.81, 799.01 and 186.04

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Solution

The fourth proportional to 532.81, 799.01 and 186.04 is: 278.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.81 : 799.01 = 186.04 : x
  2. Step 2: Convert to fraction form
    532.81/799.01 = 186.04/x
  3. Step 3: Cross multiply
    532.81x = 799.01 × 186.04
  4. Step 4: Simplify right side
    532.81x = 148,642.90
  5. Step 5: Solve for x
    x = 148,642.90/532.81
  6. Step 6: Final answer
    x = 278.98

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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.