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Finding the Fourth Proportional to 193.36, 289.36 and 152.56

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Solution

The fourth proportional to 193.36, 289.36 and 152.56 is: 228.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.36 : 289.36 = 152.56 : x
  2. Step 2: Convert to fraction form
    193.36/289.36 = 152.56/x
  3. Step 3: Cross multiply
    193.36x = 289.36 × 152.56
  4. Step 4: Simplify right side
    193.36x = 44,144.76
  5. Step 5: Solve for x
    x = 44,144.76/193.36
  6. Step 6: Final answer
    x = 228.30

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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.