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Finding the Fourth Proportional to 152.36, 228.24 and 113.76

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Solution

The fourth proportional to 152.36, 228.24 and 113.76 is: 170.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.36 : 228.24 = 113.76 : x
  2. Step 2: Convert to fraction form
    152.36/228.24 = 113.76/x
  3. Step 3: Cross multiply
    152.36x = 228.24 × 113.76
  4. Step 4: Simplify right side
    152.36x = 25,964.58
  5. Step 5: Solve for x
    x = 25,964.58/152.36
  6. Step 6: Final answer
    x = 170.42

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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.