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Finding the Fourth Proportional to 332.98, 459.30 and 202.06

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Solution

The fourth proportional to 332.98, 459.30 and 202.06 is: 278.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.98 : 459.30 = 202.06 : x
  2. Step 2: Convert to fraction form
    332.98/459.30 = 202.06/x
  3. Step 3: Cross multiply
    332.98x = 459.30 × 202.06
  4. Step 4: Simplify right side
    332.98x = 92,807.49
  5. Step 5: Solve for x
    x = 92,807.49/332.98
  6. Step 6: Final answer
    x = 278.72

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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.