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Finding the Fourth Proportional to 188.53, 260.12 and 114.88

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Solution

The fourth proportional to 188.53, 260.12 and 114.88 is: 158.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.53 : 260.12 = 114.88 : x
  2. Step 2: Convert to fraction form
    188.53/260.12 = 114.88/x
  3. Step 3: Cross multiply
    188.53x = 260.12 × 114.88
  4. Step 4: Simplify right side
    188.53x = 29,880.71
  5. Step 5: Solve for x
    x = 29,880.71/188.53
  6. Step 6: Final answer
    x = 158.50

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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.