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Finding the Fourth Proportional to 153.96, 211.57 and 146.82

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Solution

The fourth proportional to 153.96, 211.57 and 146.82 is: 201.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.96 : 211.57 = 146.82 : x
  2. Step 2: Convert to fraction form
    153.96/211.57 = 146.82/x
  3. Step 3: Cross multiply
    153.96x = 211.57 × 146.82
  4. Step 4: Simplify right side
    153.96x = 31,062.77
  5. Step 5: Solve for x
    x = 31,062.77/153.96
  6. Step 6: Final answer
    x = 201.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.