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Finding the Fourth Proportional to 305.71, 421.85 and 172.95

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Solution

The fourth proportional to 305.71, 421.85 and 172.95 is: 238.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.71 : 421.85 = 172.95 : x
  2. Step 2: Convert to fraction form
    305.71/421.85 = 172.95/x
  3. Step 3: Cross multiply
    305.71x = 421.85 × 172.95
  4. Step 4: Simplify right side
    305.71x = 72,957.81
  5. Step 5: Solve for x
    x = 72,957.81/305.71
  6. Step 6: Final answer
    x = 238.65

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Why These Related Problems?

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