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Finding the Fourth Proportional to 235.01, 324.35 and 141.77

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Solution

The fourth proportional to 235.01, 324.35 and 141.77 is: 195.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.01 : 324.35 = 141.77 : x
  2. Step 2: Convert to fraction form
    235.01/324.35 = 141.77/x
  3. Step 3: Cross multiply
    235.01x = 324.35 × 141.77
  4. Step 4: Simplify right side
    235.01x = 45,983.10
  5. Step 5: Solve for x
    x = 45,983.10/235.01
  6. Step 6: Final answer
    x = 195.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.