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Finding the Fourth Proportional to 332.99, 499.63 and 178.74

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Solution

The fourth proportional to 332.99, 499.63 and 178.74 is: 268.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.99 : 499.63 = 178.74 : x
  2. Step 2: Convert to fraction form
    332.99/499.63 = 178.74/x
  3. Step 3: Cross multiply
    332.99x = 499.63 × 178.74
  4. Step 4: Simplify right side
    332.99x = 89,303.92
  5. Step 5: Solve for x
    x = 89,303.92/332.99
  6. Step 6: Final answer
    x = 268.19

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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.