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Finding the Fourth Proportional to 188.48, 260.08 and 105.59

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Solution

The fourth proportional to 188.48, 260.08 and 105.59 is: 145.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.48 : 260.08 = 105.59 : x
  2. Step 2: Convert to fraction form
    188.48/260.08 = 105.59/x
  3. Step 3: Cross multiply
    188.48x = 260.08 × 105.59
  4. Step 4: Simplify right side
    188.48x = 27,461.85
  5. Step 5: Solve for x
    x = 27,461.85/188.48
  6. Step 6: Final answer
    x = 145.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.