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Finding the Fourth Proportional to 615.23, 922.92 and 225.35

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Solution

The fourth proportional to 615.23, 922.92 and 225.35 is: 338.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.23 : 922.92 = 225.35 : x
  2. Step 2: Convert to fraction form
    615.23/922.92 = 225.35/x
  3. Step 3: Cross multiply
    615.23x = 922.92 × 225.35
  4. Step 4: Simplify right side
    615.23x = 207,980.02
  5. Step 5: Solve for x
    x = 207,980.02/615.23
  6. Step 6: Final answer
    x = 338.05

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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.