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Finding the Fourth Proportional to 229.01, 343.58 and 120.77

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Solution

The fourth proportional to 229.01, 343.58 and 120.77 is: 181.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.01 : 343.58 = 120.77 : x
  2. Step 2: Convert to fraction form
    229.01/343.58 = 120.77/x
  3. Step 3: Cross multiply
    229.01x = 343.58 × 120.77
  4. Step 4: Simplify right side
    229.01x = 41,494.16
  5. Step 5: Solve for x
    x = 41,494.16/229.01
  6. Step 6: Final answer
    x = 181.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.