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Finding the Fourth Proportional to 235.81, 325.62 and 157.14

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Solution

The fourth proportional to 235.81, 325.62 and 157.14 is: 216.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.81 : 325.62 = 157.14 : x
  2. Step 2: Convert to fraction form
    235.81/325.62 = 157.14/x
  3. Step 3: Cross multiply
    235.81x = 325.62 × 157.14
  4. Step 4: Simplify right side
    235.81x = 51,167.93
  5. Step 5: Solve for x
    x = 51,167.93/235.81
  6. Step 6: Final answer
    x = 216.99

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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.