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Finding the Fourth Proportional to 328.84, 493.25 and 184.25

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Solution

The fourth proportional to 328.84, 493.25 and 184.25 is: 276.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.84 : 493.25 = 184.25 : x
  2. Step 2: Convert to fraction form
    328.84/493.25 = 184.25/x
  3. Step 3: Cross multiply
    328.84x = 493.25 × 184.25
  4. Step 4: Simplify right side
    328.84x = 90,881.31
  5. Step 5: Solve for x
    x = 90,881.31/328.84
  6. Step 6: Final answer
    x = 276.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.