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Finding the Fourth Proportional to 157.76, 216.16 and 155.84

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Solution

The fourth proportional to 157.76, 216.16 and 155.84 is: 213.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.76 : 216.16 = 155.84 : x
  2. Step 2: Convert to fraction form
    157.76/216.16 = 155.84/x
  3. Step 3: Cross multiply
    157.76x = 216.16 × 155.84
  4. Step 4: Simplify right side
    157.76x = 33,686.37
  5. Step 5: Solve for x
    x = 33,686.37/157.76
  6. Step 6: Final answer
    x = 213.53

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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.