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Finding the Fourth Proportional to 162.06, 241.93 and 141.57

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Solution

The fourth proportional to 162.06, 241.93 and 141.57 is: 211.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.06 : 241.93 = 141.57 : x
  2. Step 2: Convert to fraction form
    162.06/241.93 = 141.57/x
  3. Step 3: Cross multiply
    162.06x = 241.93 × 141.57
  4. Step 4: Simplify right side
    162.06x = 34,250.03
  5. Step 5: Solve for x
    x = 34,250.03/162.06
  6. Step 6: Final answer
    x = 211.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.