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Finding the Fourth Proportional to 532.51, 798.68 and 185.83

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Solution

The fourth proportional to 532.51, 798.68 and 185.83 is: 278.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.51 : 798.68 = 185.83 : x
  2. Step 2: Convert to fraction form
    532.51/798.68 = 185.83/x
  3. Step 3: Cross multiply
    532.51x = 798.68 × 185.83
  4. Step 4: Simplify right side
    532.51x = 148,417.17
  5. Step 5: Solve for x
    x = 148,417.17/532.51
  6. Step 6: Final answer
    x = 278.71

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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.