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Finding the Fourth Proportional to 152.50, 228.86 and 103.84

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Solution

The fourth proportional to 152.50, 228.86 and 103.84 is: 155.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.50 : 228.86 = 103.84 : x
  2. Step 2: Convert to fraction form
    152.50/228.86 = 103.84/x
  3. Step 3: Cross multiply
    152.50x = 228.86 × 103.84
  4. Step 4: Simplify right side
    152.50x = 23,764.82
  5. Step 5: Solve for x
    x = 23,764.82/152.50
  6. Step 6: Final answer
    x = 155.83

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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.