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Finding the Fourth Proportional to 612.30, 918.50 and 201.42

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Solution

The fourth proportional to 612.30, 918.50 and 201.42 is: 302.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.30 : 918.50 = 201.42 : x
  2. Step 2: Convert to fraction form
    612.30/918.50 = 201.42/x
  3. Step 3: Cross multiply
    612.30x = 918.50 × 201.42
  4. Step 4: Simplify right side
    612.30x = 185,004.27
  5. Step 5: Solve for x
    x = 185,004.27/612.30
  6. Step 6: Final answer
    x = 302.15

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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.