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Finding the Fourth Proportional to 228.60, 340.92 and 208.08

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Solution

The fourth proportional to 228.60, 340.92 and 208.08 is: 310.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.60 : 340.92 = 208.08 : x
  2. Step 2: Convert to fraction form
    228.60/340.92 = 208.08/x
  3. Step 3: Cross multiply
    228.60x = 340.92 × 208.08
  4. Step 4: Simplify right side
    228.60x = 70,938.63
  5. Step 5: Solve for x
    x = 70,938.63/228.60
  6. Step 6: Final answer
    x = 310.32

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