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Finding the Fourth Proportional to 154.05, 229.49 and 153.15

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Solution

The fourth proportional to 154.05, 229.49 and 153.15 is: 228.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.05 : 229.49 = 153.15 : x
  2. Step 2: Convert to fraction form
    154.05/229.49 = 153.15/x
  3. Step 3: Cross multiply
    154.05x = 229.49 × 153.15
  4. Step 4: Simplify right side
    154.05x = 35,145.63
  5. Step 5: Solve for x
    x = 35,145.63/154.05
  6. Step 6: Final answer
    x = 228.14

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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.