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Finding the Fourth Proportional to 618.01, 926.97 and 155.77

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Solution

The fourth proportional to 618.01, 926.97 and 155.77 is: 233.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.01 : 926.97 = 155.77 : x
  2. Step 2: Convert to fraction form
    618.01/926.97 = 155.77/x
  3. Step 3: Cross multiply
    618.01x = 926.97 × 155.77
  4. Step 4: Simplify right side
    618.01x = 144,394.12
  5. Step 5: Solve for x
    x = 144,394.12/618.01
  6. Step 6: Final answer
    x = 233.64

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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.