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Finding the Fourth Proportional to 147.93, 204.58 and 145.19

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Solution

The fourth proportional to 147.93, 204.58 and 145.19 is: 200.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.93 : 204.58 = 145.19 : x
  2. Step 2: Convert to fraction form
    147.93/204.58 = 145.19/x
  3. Step 3: Cross multiply
    147.93x = 204.58 × 145.19
  4. Step 4: Simplify right side
    147.93x = 29,702.85
  5. Step 5: Solve for x
    x = 29,702.85/147.93
  6. Step 6: Final answer
    x = 200.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.