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Finding the Fourth Proportional to 244.16, 364.48 and 208.32

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Solution

The fourth proportional to 244.16, 364.48 and 208.32 is: 310.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.16 : 364.48 = 208.32 : x
  2. Step 2: Convert to fraction form
    244.16/364.48 = 208.32/x
  3. Step 3: Cross multiply
    244.16x = 364.48 × 208.32
  4. Step 4: Simplify right side
    244.16x = 75,928.47
  5. Step 5: Solve for x
    x = 75,928.47/244.16
  6. Step 6: Final answer
    x = 310.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.