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Finding the Fourth Proportional to 235.68, 352.86 and 148.77

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Solution

The fourth proportional to 235.68, 352.86 and 148.77 is: 222.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.68 : 352.86 = 148.77 : x
  2. Step 2: Convert to fraction form
    235.68/352.86 = 148.77/x
  3. Step 3: Cross multiply
    235.68x = 352.86 × 148.77
  4. Step 4: Simplify right side
    235.68x = 52,494.98
  5. Step 5: Solve for x
    x = 52,494.98/235.68
  6. Step 6: Final answer
    x = 222.74

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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.