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Finding the Fourth Proportional to 228.05, 314.85 and 145.23

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Solution

The fourth proportional to 228.05, 314.85 and 145.23 is: 200.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.05 : 314.85 = 145.23 : x
  2. Step 2: Convert to fraction form
    228.05/314.85 = 145.23/x
  3. Step 3: Cross multiply
    228.05x = 314.85 × 145.23
  4. Step 4: Simplify right side
    228.05x = 45,724.94
  5. Step 5: Solve for x
    x = 45,724.94/228.05
  6. Step 6: Final answer
    x = 200.50

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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.