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Finding the Fourth Proportional to 154.64, 233.09 and 141.66

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Solution

The fourth proportional to 154.64, 233.09 and 141.66 is: 213.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.64 : 233.09 = 141.66 : x
  2. Step 2: Convert to fraction form
    154.64/233.09 = 141.66/x
  3. Step 3: Cross multiply
    154.64x = 233.09 × 141.66
  4. Step 4: Simplify right side
    154.64x = 33,019.88
  5. Step 5: Solve for x
    x = 33,019.88/154.64
  6. Step 6: Final answer
    x = 213.52

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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.