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Finding the Fourth Proportional to 188.32, 259.76 and 130.16

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Solution

The fourth proportional to 188.32, 259.76 and 130.16 is: 179.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.32 : 259.76 = 130.16 : x
  2. Step 2: Convert to fraction form
    188.32/259.76 = 130.16/x
  3. Step 3: Cross multiply
    188.32x = 259.76 × 130.16
  4. Step 4: Simplify right side
    188.32x = 33,810.36
  5. Step 5: Solve for x
    x = 33,810.36/188.32
  6. Step 6: Final answer
    x = 179.54

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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.