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Finding the Fourth Proportional to 342.81, 473.06 and 202.90

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Solution

The fourth proportional to 342.81, 473.06 and 202.90 is: 279.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.81 : 473.06 = 202.90 : x
  2. Step 2: Convert to fraction form
    342.81/473.06 = 202.90/x
  3. Step 3: Cross multiply
    342.81x = 473.06 × 202.90
  4. Step 4: Simplify right side
    342.81x = 95,981.51
  5. Step 5: Solve for x
    x = 95,981.51/342.81
  6. Step 6: Final answer
    x = 279.98

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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.