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Finding the Fourth Proportional to 157.61, 216.23 and 153.56

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Solution

The fourth proportional to 157.61, 216.23 and 153.56 is: 210.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.61 : 216.23 = 153.56 : x
  2. Step 2: Convert to fraction form
    157.61/216.23 = 153.56/x
  3. Step 3: Cross multiply
    157.61x = 216.23 × 153.56
  4. Step 4: Simplify right side
    157.61x = 33,204.05
  5. Step 5: Solve for x
    x = 33,204.05/157.61
  6. Step 6: Final answer
    x = 210.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.