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Finding the Fourth Proportional to 556.64, 834.99 and 145.79

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Solution

The fourth proportional to 556.64, 834.99 and 145.79 is: 218.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.64 : 834.99 = 145.79 : x
  2. Step 2: Convert to fraction form
    556.64/834.99 = 145.79/x
  3. Step 3: Cross multiply
    556.64x = 834.99 × 145.79
  4. Step 4: Simplify right side
    556.64x = 121,729.02
  5. Step 5: Solve for x
    x = 121,729.02/556.64
  6. Step 6: Final answer
    x = 218.69

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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.