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Finding the Fourth Proportional to 154.98, 214.02 and 133.02

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Solution

The fourth proportional to 154.98, 214.02 and 133.02 is: 183.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.98 : 214.02 = 133.02 : x
  2. Step 2: Convert to fraction form
    154.98/214.02 = 133.02/x
  3. Step 3: Cross multiply
    154.98x = 214.02 × 133.02
  4. Step 4: Simplify right side
    154.98x = 28,468.94
  5. Step 5: Solve for x
    x = 28,468.94/154.98
  6. Step 6: Final answer
    x = 183.69

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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.