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Finding the Fourth Proportional to 157.40, 217.26 and 102.15

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Solution

The fourth proportional to 157.40, 217.26 and 102.15 is: 141.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.40 : 217.26 = 102.15 : x
  2. Step 2: Convert to fraction form
    157.40/217.26 = 102.15/x
  3. Step 3: Cross multiply
    157.40x = 217.26 × 102.15
  4. Step 4: Simplify right side
    157.40x = 22,193.11
  5. Step 5: Solve for x
    x = 22,193.11/157.40
  6. Step 6: Final answer
    x = 141.00

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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.