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Finding the Fourth Proportional to 157.56, 215.98 and 157.32

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Solution

The fourth proportional to 157.56, 215.98 and 157.32 is: 215.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.56 : 215.98 = 157.32 : x
  2. Step 2: Convert to fraction form
    157.56/215.98 = 157.32/x
  3. Step 3: Cross multiply
    157.56x = 215.98 × 157.32
  4. Step 4: Simplify right side
    157.56x = 33,977.97
  5. Step 5: Solve for x
    x = 33,977.97/157.56
  6. Step 6: Final answer
    x = 215.65

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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.