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Finding the Fourth Proportional to 154.85, 233.33 and 138.28

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Solution

The fourth proportional to 154.85, 233.33 and 138.28 is: 208.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.85 : 233.33 = 138.28 : x
  2. Step 2: Convert to fraction form
    154.85/233.33 = 138.28/x
  3. Step 3: Cross multiply
    154.85x = 233.33 × 138.28
  4. Step 4: Simplify right side
    154.85x = 32,263.60
  5. Step 5: Solve for x
    x = 32,263.60/154.85
  6. Step 6: Final answer
    x = 208.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.