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Finding the Fourth Proportional to 157.60, 236.80 and 156.16

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Solution

The fourth proportional to 157.60, 236.80 and 156.16 is: 234.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.60 : 236.80 = 156.16 : x
  2. Step 2: Convert to fraction form
    157.60/236.80 = 156.16/x
  3. Step 3: Cross multiply
    157.60x = 236.80 × 156.16
  4. Step 4: Simplify right side
    157.60x = 36,978.69
  5. Step 5: Solve for x
    x = 36,978.69/157.60
  6. Step 6: Final answer
    x = 234.64

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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.