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Finding the Fourth Proportional to 152.16, 226.62 and 150.28

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Solution

The fourth proportional to 152.16, 226.62 and 150.28 is: 223.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.16 : 226.62 = 150.28 : x
  2. Step 2: Convert to fraction form
    152.16/226.62 = 150.28/x
  3. Step 3: Cross multiply
    152.16x = 226.62 × 150.28
  4. Step 4: Simplify right side
    152.16x = 34,056.45
  5. Step 5: Solve for x
    x = 34,056.45/152.16
  6. Step 6: Final answer
    x = 223.82

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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.