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Finding the Fourth Proportional to 602.42, 903.66 and 169.56

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Solution

The fourth proportional to 602.42, 903.66 and 169.56 is: 254.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.42 : 903.66 = 169.56 : x
  2. Step 2: Convert to fraction form
    602.42/903.66 = 169.56/x
  3. Step 3: Cross multiply
    602.42x = 903.66 × 169.56
  4. Step 4: Simplify right side
    602.42x = 153,226.85
  5. Step 5: Solve for x
    x = 153,226.85/602.42
  6. Step 6: Final answer
    x = 254.35

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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.