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Finding the Fourth Proportional to 235.64, 325.16 and 132.14

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Solution

The fourth proportional to 235.64, 325.16 and 132.14 is: 182.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.64 : 325.16 = 132.14 : x
  2. Step 2: Convert to fraction form
    235.64/325.16 = 132.14/x
  3. Step 3: Cross multiply
    235.64x = 325.16 × 132.14
  4. Step 4: Simplify right side
    235.64x = 42,966.64
  5. Step 5: Solve for x
    x = 42,966.64/235.64
  6. Step 6: Final answer
    x = 182.34

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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.