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Finding the Fourth Proportional to 228.75, 343.10 and 135.00

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Solution

The fourth proportional to 228.75, 343.10 and 135.00 is: 202.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.75 : 343.10 = 135.00 : x
  2. Step 2: Convert to fraction form
    228.75/343.10 = 135.00/x
  3. Step 3: Cross multiply
    228.75x = 343.10 × 135.00
  4. Step 4: Simplify right side
    228.75x = 46,317.55
  5. Step 5: Solve for x
    x = 46,317.55/228.75
  6. Step 6: Final answer
    x = 202.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.