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Finding the Fourth Proportional to 157.57, 215.57 and 156.88

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Solution

The fourth proportional to 157.57, 215.57 and 156.88 is: 214.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.57 : 215.57 = 156.88 : x
  2. Step 2: Convert to fraction form
    157.57/215.57 = 156.88/x
  3. Step 3: Cross multiply
    157.57x = 215.57 × 156.88
  4. Step 4: Simplify right side
    157.57x = 33,818.77
  5. Step 5: Solve for x
    x = 33,818.77/157.57
  6. Step 6: Final answer
    x = 214.63

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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.