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Finding the Fourth Proportional to 612.42, 918.41 and 201.48

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Solution

The fourth proportional to 612.42, 918.41 and 201.48 is: 302.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.42 : 918.41 = 201.48 : x
  2. Step 2: Convert to fraction form
    612.42/918.41 = 201.48/x
  3. Step 3: Cross multiply
    612.42x = 918.41 × 201.48
  4. Step 4: Simplify right side
    612.42x = 185,040.24
  5. Step 5: Solve for x
    x = 185,040.24/612.42
  6. Step 6: Final answer
    x = 302.15

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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.