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Finding the Fourth Proportional to 202.83, 304.20 and 56.58

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Solution

The fourth proportional to 202.83, 304.20 and 56.58 is: 84.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.83 : 304.20 = 56.58 : x
  2. Step 2: Convert to fraction form
    202.83/304.20 = 56.58/x
  3. Step 3: Cross multiply
    202.83x = 304.20 × 56.58
  4. Step 4: Simplify right side
    202.83x = 17,211.64
  5. Step 5: Solve for x
    x = 17,211.64/202.83
  6. Step 6: Final answer
    x = 84.86

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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.