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Finding the Fourth Proportional to 224.58, 309.60 and 199.98

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Solution

The fourth proportional to 224.58, 309.60 and 199.98 is: 275.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.58 : 309.60 = 199.98 : x
  2. Step 2: Convert to fraction form
    224.58/309.60 = 199.98/x
  3. Step 3: Cross multiply
    224.58x = 309.60 × 199.98
  4. Step 4: Simplify right side
    224.58x = 61,913.81
  5. Step 5: Solve for x
    x = 61,913.81/224.58
  6. Step 6: Final answer
    x = 275.69

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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.