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Finding the Fourth Proportional to 131.76, 196.29 and 130.32

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Solution

The fourth proportional to 131.76, 196.29 and 130.32 is: 194.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.76 : 196.29 = 130.32 : x
  2. Step 2: Convert to fraction form
    131.76/196.29 = 130.32/x
  3. Step 3: Cross multiply
    131.76x = 196.29 × 130.32
  4. Step 4: Simplify right side
    131.76x = 25,580.51
  5. Step 5: Solve for x
    x = 25,580.51/131.76
  6. Step 6: Final answer
    x = 194.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.