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Finding the Fourth Proportional to 147.04, 219.21 and 135.52

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Solution

The fourth proportional to 147.04, 219.21 and 135.52 is: 202.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.04 : 219.21 = 135.52 : x
  2. Step 2: Convert to fraction form
    147.04/219.21 = 135.52/x
  3. Step 3: Cross multiply
    147.04x = 219.21 × 135.52
  4. Step 4: Simplify right side
    147.04x = 29,707.34
  5. Step 5: Solve for x
    x = 29,707.34/147.04
  6. Step 6: Final answer
    x = 202.04

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