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Finding the Fourth Proportional to 332.95, 459.43 and 193.06

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Solution

The fourth proportional to 332.95, 459.43 and 193.06 is: 266.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.95 : 459.43 = 193.06 : x
  2. Step 2: Convert to fraction form
    332.95/459.43 = 193.06/x
  3. Step 3: Cross multiply
    332.95x = 459.43 × 193.06
  4. Step 4: Simplify right side
    332.95x = 88,697.56
  5. Step 5: Solve for x
    x = 88,697.56/332.95
  6. Step 6: Final answer
    x = 266.40

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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.