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Finding the Fourth Proportional to 612.52, 918.72 and 201.86

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Solution

The fourth proportional to 612.52, 918.72 and 201.86 is: 302.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.52 : 918.72 = 201.86 : x
  2. Step 2: Convert to fraction form
    612.52/918.72 = 201.86/x
  3. Step 3: Cross multiply
    612.52x = 918.72 × 201.86
  4. Step 4: Simplify right side
    612.52x = 185,452.82
  5. Step 5: Solve for x
    x = 185,452.82/612.52
  6. Step 6: Final answer
    x = 302.77

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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.