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Finding the Fourth Proportional to 556.19, 834.35 and 185.87

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Solution

The fourth proportional to 556.19, 834.35 and 185.87 is: 278.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.19 : 834.35 = 185.87 : x
  2. Step 2: Convert to fraction form
    556.19/834.35 = 185.87/x
  3. Step 3: Cross multiply
    556.19x = 834.35 × 185.87
  4. Step 4: Simplify right side
    556.19x = 155,076.46
  5. Step 5: Solve for x
    x = 155,076.46/556.19
  6. Step 6: Final answer
    x = 278.82

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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.