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Finding the Fourth Proportional to 559.09, 838.64 and 169.10

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Solution

The fourth proportional to 559.09, 838.64 and 169.10 is: 253.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.09 : 838.64 = 169.10 : x
  2. Step 2: Convert to fraction form
    559.09/838.64 = 169.10/x
  3. Step 3: Cross multiply
    559.09x = 838.64 × 169.10
  4. Step 4: Simplify right side
    559.09x = 141,810.46
  5. Step 5: Solve for x
    x = 141,810.46/559.09
  6. Step 6: Final answer
    x = 253.64

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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.