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Finding the Fourth Proportional to 188.34, 259.83 and 110.58

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Solution

The fourth proportional to 188.34, 259.83 and 110.58 is: 152.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.34 : 259.83 = 110.58 : x
  2. Step 2: Convert to fraction form
    188.34/259.83 = 110.58/x
  3. Step 3: Cross multiply
    188.34x = 259.83 × 110.58
  4. Step 4: Simplify right side
    188.34x = 28,732.00
  5. Step 5: Solve for x
    x = 28,732.00/188.34
  6. Step 6: Final answer
    x = 152.55

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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.