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Finding the Fourth Proportional to 242.96, 364.14 and 185.00

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Solution

The fourth proportional to 242.96, 364.14 and 185.00 is: 277.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.96 : 364.14 = 185.00 : x
  2. Step 2: Convert to fraction form
    242.96/364.14 = 185.00/x
  3. Step 3: Cross multiply
    242.96x = 364.14 × 185.00
  4. Step 4: Simplify right side
    242.96x = 67,364.08
  5. Step 5: Solve for x
    x = 67,364.08/242.96
  6. Step 6: Final answer
    x = 277.27

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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.