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Finding the Fourth Proportional to 202.58, 302.94 and 147.91

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Solution

The fourth proportional to 202.58, 302.94 and 147.91 is: 221.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.58 : 302.94 = 147.91 : x
  2. Step 2: Convert to fraction form
    202.58/302.94 = 147.91/x
  3. Step 3: Cross multiply
    202.58x = 302.94 × 147.91
  4. Step 4: Simplify right side
    202.58x = 44,807.86
  5. Step 5: Solve for x
    x = 44,807.86/202.58
  6. Step 6: Final answer
    x = 221.19

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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.