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Finding the Fourth Proportional to 228.41, 314.40 and 199.25

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Solution

The fourth proportional to 228.41, 314.40 and 199.25 is: 274.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.41 : 314.40 = 199.25 : x
  2. Step 2: Convert to fraction form
    228.41/314.40 = 199.25/x
  3. Step 3: Cross multiply
    228.41x = 314.40 × 199.25
  4. Step 4: Simplify right side
    228.41x = 62,642.63
  5. Step 5: Solve for x
    x = 62,642.63/228.41
  6. Step 6: Final answer
    x = 274.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.