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Finding the Fourth Proportional to 225.78, 311.70 and 152.16

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Solution

The fourth proportional to 225.78, 311.70 and 152.16 is: 210.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.78 : 311.70 = 152.16 : x
  2. Step 2: Convert to fraction form
    225.78/311.70 = 152.16/x
  3. Step 3: Cross multiply
    225.78x = 311.70 × 152.16
  4. Step 4: Simplify right side
    225.78x = 47,428.27
  5. Step 5: Solve for x
    x = 47,428.27/225.78
  6. Step 6: Final answer
    x = 210.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.