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Finding the Fourth Proportional to 157.82, 236.45 and 97.00

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Solution

The fourth proportional to 157.82, 236.45 and 97.00 is: 145.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.82 : 236.45 = 97.00 : x
  2. Step 2: Convert to fraction form
    157.82/236.45 = 97.00/x
  3. Step 3: Cross multiply
    157.82x = 236.45 × 97.00
  4. Step 4: Simplify right side
    157.82x = 22,935.30
  5. Step 5: Solve for x
    x = 22,935.30/157.82
  6. Step 6: Final answer
    x = 145.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.