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Finding the Fourth Proportional to 245.04, 367.66 and 184.68

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Solution

The fourth proportional to 245.04, 367.66 and 184.68 is: 277.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.04 : 367.66 = 184.68 : x
  2. Step 2: Convert to fraction form
    245.04/367.66 = 184.68/x
  3. Step 3: Cross multiply
    245.04x = 367.66 × 184.68
  4. Step 4: Simplify right side
    245.04x = 67,899.45
  5. Step 5: Solve for x
    x = 67,899.45/245.04
  6. Step 6: Final answer
    x = 277.10

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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.