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Finding the Fourth Proportional to 601.42, 902.13 and 145.42

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Solution

The fourth proportional to 601.42, 902.13 and 145.42 is: 218.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.42 : 902.13 = 145.42 : x
  2. Step 2: Convert to fraction form
    601.42/902.13 = 145.42/x
  3. Step 3: Cross multiply
    601.42x = 902.13 × 145.42
  4. Step 4: Simplify right side
    601.42x = 131,187.74
  5. Step 5: Solve for x
    x = 131,187.74/601.42
  6. Step 6: Final answer
    x = 218.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.