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Finding the Fourth Proportional to 206.05, 309.53 and 152.29

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Solution

The fourth proportional to 206.05, 309.53 and 152.29 is: 228.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.05 : 309.53 = 152.29 : x
  2. Step 2: Convert to fraction form
    206.05/309.53 = 152.29/x
  3. Step 3: Cross multiply
    206.05x = 309.53 × 152.29
  4. Step 4: Simplify right side
    206.05x = 47,138.32
  5. Step 5: Solve for x
    x = 47,138.32/206.05
  6. Step 6: Final answer
    x = 228.77

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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.