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Finding the Fourth Proportional to 219.76, 330.98 and 185.76

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Solution

The fourth proportional to 219.76, 330.98 and 185.76 is: 279.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.76 : 330.98 = 185.76 : x
  2. Step 2: Convert to fraction form
    219.76/330.98 = 185.76/x
  3. Step 3: Cross multiply
    219.76x = 330.98 × 185.76
  4. Step 4: Simplify right side
    219.76x = 61,482.84
  5. Step 5: Solve for x
    x = 61,482.84/219.76
  6. Step 6: Final answer
    x = 279.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.