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Finding the Fourth Proportional to 188.42, 260.08 and 130.10

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Solution

The fourth proportional to 188.42, 260.08 and 130.10 is: 179.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.42 : 260.08 = 130.10 : x
  2. Step 2: Convert to fraction form
    188.42/260.08 = 130.10/x
  3. Step 3: Cross multiply
    188.42x = 260.08 × 130.10
  4. Step 4: Simplify right side
    188.42x = 33,834.78
  5. Step 5: Solve for x
    x = 33,834.78/188.42
  6. Step 6: Final answer
    x = 179.58

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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.