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Finding the Fourth Proportional to 157.50, 217 and 108.30

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Solution

The fourth proportional to 157.50, 217 and 108.30 is: 149.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.50 : 217 = 108.30 : x
  2. Step 2: Convert to fraction form
    157.50/217 = 108.30/x
  3. Step 3: Cross multiply
    157.50x = 217 × 108.30
  4. Step 4: Simplify right side
    157.50x = 23,501.10
  5. Step 5: Solve for x
    x = 23,501.10/157.50
  6. Step 6: Final answer
    x = 149.21

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Why These Related Problems?

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