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Finding the Fourth Proportional to 228.71, 341.07 and 205.02

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Solution

The fourth proportional to 228.71, 341.07 and 205.02 is: 305.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.71 : 341.07 = 205.02 : x
  2. Step 2: Convert to fraction form
    228.71/341.07 = 205.02/x
  3. Step 3: Cross multiply
    228.71x = 341.07 × 205.02
  4. Step 4: Simplify right side
    228.71x = 69,926.17
  5. Step 5: Solve for x
    x = 69,926.17/228.71
  6. Step 6: Final answer
    x = 305.75

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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.