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Finding the Fourth Proportional to 346.82, 520.38 and 202.50

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Solution

The fourth proportional to 346.82, 520.38 and 202.50 is: 303.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.82 : 520.38 = 202.50 : x
  2. Step 2: Convert to fraction form
    346.82/520.38 = 202.50/x
  3. Step 3: Cross multiply
    346.82x = 520.38 × 202.50
  4. Step 4: Simplify right side
    346.82x = 105,376.95
  5. Step 5: Solve for x
    x = 105,376.95/346.82
  6. Step 6: Final answer
    x = 303.84

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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.