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Finding the Fourth Proportional to 245.59, 368.64 and 185.02

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Solution

The fourth proportional to 245.59, 368.64 and 185.02 is: 277.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.59 : 368.64 = 185.02 : x
  2. Step 2: Convert to fraction form
    245.59/368.64 = 185.02/x
  3. Step 3: Cross multiply
    245.59x = 368.64 × 185.02
  4. Step 4: Simplify right side
    245.59x = 68,205.77
  5. Step 5: Solve for x
    x = 68,205.77/245.59
  6. Step 6: Final answer
    x = 277.72

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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.