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Finding the Fourth Proportional to 157.06, 215.75 and 134.92

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Solution

The fourth proportional to 157.06, 215.75 and 134.92 is: 185.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.06 : 215.75 = 134.92 : x
  2. Step 2: Convert to fraction form
    157.06/215.75 = 134.92/x
  3. Step 3: Cross multiply
    157.06x = 215.75 × 134.92
  4. Step 4: Simplify right side
    157.06x = 29,108.99
  5. Step 5: Solve for x
    x = 29,108.99/157.06
  6. Step 6: Final answer
    x = 185.34

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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.