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Finding the Fourth Proportional to 189.96, 283.58 and 172.95

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Solution

The fourth proportional to 189.96, 283.58 and 172.95 is: 258.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.96 : 283.58 = 172.95 : x
  2. Step 2: Convert to fraction form
    189.96/283.58 = 172.95/x
  3. Step 3: Cross multiply
    189.96x = 283.58 × 172.95
  4. Step 4: Simplify right side
    189.96x = 49,044.30
  5. Step 5: Solve for x
    x = 49,044.30/189.96
  6. Step 6: Final answer
    x = 258.18

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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.