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Finding the Fourth Proportional to 152.35, 227.34 and 145.46

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Solution

The fourth proportional to 152.35, 227.34 and 145.46 is: 217.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.35 : 227.34 = 145.46 : x
  2. Step 2: Convert to fraction form
    152.35/227.34 = 145.46/x
  3. Step 3: Cross multiply
    152.35x = 227.34 × 145.46
  4. Step 4: Simplify right side
    152.35x = 33,069.44
  5. Step 5: Solve for x
    x = 33,069.44/152.35
  6. Step 6: Final answer
    x = 217.07

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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.