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Finding the Fourth Proportional to 235.95, 325.36 and 157.24

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Solution

The fourth proportional to 235.95, 325.36 and 157.24 is: 216.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.95 : 325.36 = 157.24 : x
  2. Step 2: Convert to fraction form
    235.95/325.36 = 157.24/x
  3. Step 3: Cross multiply
    235.95x = 325.36 × 157.24
  4. Step 4: Simplify right side
    235.95x = 51,159.61
  5. Step 5: Solve for x
    x = 51,159.61/235.95
  6. Step 6: Final answer
    x = 216.82

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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.