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Finding the Fourth Proportional to 188.52, 260.26 and 145

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Solution

The fourth proportional to 188.52, 260.26 and 145 is: 200.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.52 : 260.26 = 145 : x
  2. Step 2: Convert to fraction form
    188.52/260.26 = 145/x
  3. Step 3: Cross multiply
    188.52x = 260.26 × 145
  4. Step 4: Simplify right side
    188.52x = 37,737.70
  5. Step 5: Solve for x
    x = 37,737.70/188.52
  6. Step 6: Final answer
    x = 200.18

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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.