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Finding the Fourth Proportional to 612.08, 918.14 and 201.22

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Solution

The fourth proportional to 612.08, 918.14 and 201.22 is: 301.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.08 : 918.14 = 201.22 : x
  2. Step 2: Convert to fraction form
    612.08/918.14 = 201.22/x
  3. Step 3: Cross multiply
    612.08x = 918.14 × 201.22
  4. Step 4: Simplify right side
    612.08x = 184,748.13
  5. Step 5: Solve for x
    x = 184,748.13/612.08
  6. Step 6: Final answer
    x = 301.84

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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.