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Finding the Fourth Proportional to 245.98, 368.71 and 184.92

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Solution

The fourth proportional to 245.98, 368.71 and 184.92 is: 277.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.98 : 368.71 = 184.92 : x
  2. Step 2: Convert to fraction form
    245.98/368.71 = 184.92/x
  3. Step 3: Cross multiply
    245.98x = 368.71 × 184.92
  4. Step 4: Simplify right side
    245.98x = 68,181.85
  5. Step 5: Solve for x
    x = 68,181.85/245.98
  6. Step 6: Final answer
    x = 277.18

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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.