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Finding the Fourth Proportional to 277.34, 382.44 and 236.04

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Solution

The fourth proportional to 277.34, 382.44 and 236.04 is: 325.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.34 : 382.44 = 236.04 : x
  2. Step 2: Convert to fraction form
    277.34/382.44 = 236.04/x
  3. Step 3: Cross multiply
    277.34x = 382.44 × 236.04
  4. Step 4: Simplify right side
    277.34x = 90,271.14
  5. Step 5: Solve for x
    x = 90,271.14/277.34
  6. Step 6: Final answer
    x = 325.49

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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.