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Finding the Fourth Proportional to 235.90, 325.54 and 137.66

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Solution

The fourth proportional to 235.90, 325.54 and 137.66 is: 189.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.90 : 325.54 = 137.66 : x
  2. Step 2: Convert to fraction form
    235.90/325.54 = 137.66/x
  3. Step 3: Cross multiply
    235.90x = 325.54 × 137.66
  4. Step 4: Simplify right side
    235.90x = 44,814.82
  5. Step 5: Solve for x
    x = 44,814.82/235.90
  6. Step 6: Final answer
    x = 189.98

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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.