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Finding the Fourth Proportional to 240.35, 332.01 and 185.77

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Solution

The fourth proportional to 240.35, 332.01 and 185.77 is: 256.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.35 : 332.01 = 185.77 : x
  2. Step 2: Convert to fraction form
    240.35/332.01 = 185.77/x
  3. Step 3: Cross multiply
    240.35x = 332.01 × 185.77
  4. Step 4: Simplify right side
    240.35x = 61,677.50
  5. Step 5: Solve for x
    x = 61,677.50/240.35
  6. Step 6: Final answer
    x = 256.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.