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Finding the Fourth Proportional to 157.56, 236.38 and 156.28

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Solution

The fourth proportional to 157.56, 236.38 and 156.28 is: 234.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.56 : 236.38 = 156.28 : x
  2. Step 2: Convert to fraction form
    157.56/236.38 = 156.28/x
  3. Step 3: Cross multiply
    157.56x = 236.38 × 156.28
  4. Step 4: Simplify right side
    157.56x = 36,941.47
  5. Step 5: Solve for x
    x = 36,941.47/157.56
  6. Step 6: Final answer
    x = 234.46

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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.