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Finding the Fourth Proportional to 157.26, 235.88 and 43.26

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Solution

The fourth proportional to 157.26, 235.88 and 43.26 is: 64.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.26 : 235.88 = 43.26 : x
  2. Step 2: Convert to fraction form
    157.26/235.88 = 43.26/x
  3. Step 3: Cross multiply
    157.26x = 235.88 × 43.26
  4. Step 4: Simplify right side
    157.26x = 10,204.17
  5. Step 5: Solve for x
    x = 10,204.17/157.26
  6. Step 6: Final answer
    x = 64.89

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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.