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Finding the Fourth Proportional to 235.42, 324.87 and 135.77

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Solution

The fourth proportional to 235.42, 324.87 and 135.77 is: 187.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.42 : 324.87 = 135.77 : x
  2. Step 2: Convert to fraction form
    235.42/324.87 = 135.77/x
  3. Step 3: Cross multiply
    235.42x = 324.87 × 135.77
  4. Step 4: Simplify right side
    235.42x = 44,106.48
  5. Step 5: Solve for x
    x = 44,106.48/235.42
  6. Step 6: Final answer
    x = 187.35

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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.