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Finding the Fourth Proportional to 602.16, 903.08 and 185.73

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Solution

The fourth proportional to 602.16, 903.08 and 185.73 is: 278.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.16 : 903.08 = 185.73 : x
  2. Step 2: Convert to fraction form
    602.16/903.08 = 185.73/x
  3. Step 3: Cross multiply
    602.16x = 903.08 × 185.73
  4. Step 4: Simplify right side
    602.16x = 167,728.12
  5. Step 5: Solve for x
    x = 167,728.12/602.16
  6. Step 6: Final answer
    x = 278.54

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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.