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Finding the Fourth Proportional to 342.98, 473.18 and 225.02

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Solution

The fourth proportional to 342.98, 473.18 and 225.02 is: 310.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.98 : 473.18 = 225.02 : x
  2. Step 2: Convert to fraction form
    342.98/473.18 = 225.02/x
  3. Step 3: Cross multiply
    342.98x = 473.18 × 225.02
  4. Step 4: Simplify right side
    342.98x = 106,474.96
  5. Step 5: Solve for x
    x = 106,474.96/342.98
  6. Step 6: Final answer
    x = 310.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.