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Finding the Fourth Proportional to 152.36, 227.50 and 134.16

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Solution

The fourth proportional to 152.36, 227.50 and 134.16 is: 200.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.36 : 227.50 = 134.16 : x
  2. Step 2: Convert to fraction form
    152.36/227.50 = 134.16/x
  3. Step 3: Cross multiply
    152.36x = 227.50 × 134.16
  4. Step 4: Simplify right side
    152.36x = 30,521.40
  5. Step 5: Solve for x
    x = 30,521.40/152.36
  6. Step 6: Final answer
    x = 200.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.