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Finding the Fourth Proportional to 615.77, 923.84 and 205.18

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Solution

The fourth proportional to 615.77, 923.84 and 205.18 is: 307.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.77 : 923.84 = 205.18 : x
  2. Step 2: Convert to fraction form
    615.77/923.84 = 205.18/x
  3. Step 3: Cross multiply
    615.77x = 923.84 × 205.18
  4. Step 4: Simplify right side
    615.77x = 189,550.16
  5. Step 5: Solve for x
    x = 189,550.16/615.77
  6. Step 6: Final answer
    x = 307.82

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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.