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Finding the Fourth Proportional to 147.51, 222.08 and 132.63

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Solution

The fourth proportional to 147.51, 222.08 and 132.63 is: 199.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.51 : 222.08 = 132.63 : x
  2. Step 2: Convert to fraction form
    147.51/222.08 = 132.63/x
  3. Step 3: Cross multiply
    147.51x = 222.08 × 132.63
  4. Step 4: Simplify right side
    147.51x = 29,454.47
  5. Step 5: Solve for x
    x = 29,454.47/147.51
  6. Step 6: Final answer
    x = 199.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.