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Finding the Fourth Proportional to 153.16, 211.35 and 120.49

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Solution

The fourth proportional to 153.16, 211.35 and 120.49 is: 166.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.16 : 211.35 = 120.49 : x
  2. Step 2: Convert to fraction form
    153.16/211.35 = 120.49/x
  3. Step 3: Cross multiply
    153.16x = 211.35 × 120.49
  4. Step 4: Simplify right side
    153.16x = 25,465.56
  5. Step 5: Solve for x
    x = 25,465.56/153.16
  6. Step 6: Final answer
    x = 166.27

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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.