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Finding the Fourth Proportional to 147.95, 221.64 and 135.19

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Solution

The fourth proportional to 147.95, 221.64 and 135.19 is: 202.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.95 : 221.64 = 135.19 : x
  2. Step 2: Convert to fraction form
    147.95/221.64 = 135.19/x
  3. Step 3: Cross multiply
    147.95x = 221.64 × 135.19
  4. Step 4: Simplify right side
    147.95x = 29,963.51
  5. Step 5: Solve for x
    x = 29,963.51/147.95
  6. Step 6: Final answer
    x = 202.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.