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Finding the Fourth Proportional to 285.48, 393.68 and 202.72

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Solution

The fourth proportional to 285.48, 393.68 and 202.72 is: 279.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.48 : 393.68 = 202.72 : x
  2. Step 2: Convert to fraction form
    285.48/393.68 = 202.72/x
  3. Step 3: Cross multiply
    285.48x = 393.68 × 202.72
  4. Step 4: Simplify right side
    285.48x = 79,806.81
  5. Step 5: Solve for x
    x = 79,806.81/285.48
  6. Step 6: Final answer
    x = 279.55

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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.