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Finding the Fourth Proportional to 277.09, 382.58 and 172.35

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Solution

The fourth proportional to 277.09, 382.58 and 172.35 is: 237.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.09 : 382.58 = 172.35 : x
  2. Step 2: Convert to fraction form
    277.09/382.58 = 172.35/x
  3. Step 3: Cross multiply
    277.09x = 382.58 × 172.35
  4. Step 4: Simplify right side
    277.09x = 65,937.76
  5. Step 5: Solve for x
    x = 65,937.76/277.09
  6. Step 6: Final answer
    x = 237.97

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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.