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Finding the Fourth Proportional to 269.04, 401.60 and 228.16

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Solution

The fourth proportional to 269.04, 401.60 and 228.16 is: 340.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.04 : 401.60 = 228.16 : x
  2. Step 2: Convert to fraction form
    269.04/401.60 = 228.16/x
  3. Step 3: Cross multiply
    269.04x = 401.60 × 228.16
  4. Step 4: Simplify right side
    269.04x = 91,629.06
  5. Step 5: Solve for x
    x = 91,629.06/269.04
  6. Step 6: Final answer
    x = 340.58

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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.