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Finding the Fourth Proportional to 157.36, 217.02 and 130

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Solution

The fourth proportional to 157.36, 217.02 and 130 is: 179.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.36 : 217.02 = 130 : x
  2. Step 2: Convert to fraction form
    157.36/217.02 = 130/x
  3. Step 3: Cross multiply
    157.36x = 217.02 × 130
  4. Step 4: Simplify right side
    157.36x = 28,212.60
  5. Step 5: Solve for x
    x = 28,212.60/157.36
  6. Step 6: Final answer
    x = 179.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.