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Finding the Fourth Proportional to 235.59, 325.13 and 142.35

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Solution

The fourth proportional to 235.59, 325.13 and 142.35 is: 196.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.59 : 325.13 = 142.35 : x
  2. Step 2: Convert to fraction form
    235.59/325.13 = 142.35/x
  3. Step 3: Cross multiply
    235.59x = 325.13 × 142.35
  4. Step 4: Simplify right side
    235.59x = 46,281.54
  5. Step 5: Solve for x
    x = 46,281.54/235.59
  6. Step 6: Final answer
    x = 196.45

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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.