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Finding the Fourth Proportional to 612.14, 918.24 and 201.40

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Solution

The fourth proportional to 612.14, 918.24 and 201.40 is: 302.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.14 : 918.24 = 201.40 : x
  2. Step 2: Convert to fraction form
    612.14/918.24 = 201.40/x
  3. Step 3: Cross multiply
    612.14x = 918.24 × 201.40
  4. Step 4: Simplify right side
    612.14x = 184,928.94
  5. Step 5: Solve for x
    x = 184,928.94/612.14
  6. Step 6: Final answer
    x = 302.10

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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.