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Finding the Fourth Proportional to 157.84, 238.63 and 157.84

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Solution

The fourth proportional to 157.84, 238.63 and 157.84 is: 238.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.84 : 238.63 = 157.84 : x
  2. Step 2: Convert to fraction form
    157.84/238.63 = 157.84/x
  3. Step 3: Cross multiply
    157.84x = 238.63 × 157.84
  4. Step 4: Simplify right side
    157.84x = 37,665.36
  5. Step 5: Solve for x
    x = 37,665.36/157.84
  6. Step 6: Final answer
    x = 238.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.