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Finding the Fourth Proportional to 157.02, 235.26 and 131.52

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Solution

The fourth proportional to 157.02, 235.26 and 131.52 is: 197.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.02 : 235.26 = 131.52 : x
  2. Step 2: Convert to fraction form
    157.02/235.26 = 131.52/x
  3. Step 3: Cross multiply
    157.02x = 235.26 × 131.52
  4. Step 4: Simplify right side
    157.02x = 30,941.40
  5. Step 5: Solve for x
    x = 30,941.40/157.02
  6. Step 6: Final answer
    x = 197.05

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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.