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Finding the Fourth Proportional to 202.48, 302.54 and 147.38

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Solution

The fourth proportional to 202.48, 302.54 and 147.38 is: 220.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.48 : 302.54 = 147.38 : x
  2. Step 2: Convert to fraction form
    202.48/302.54 = 147.38/x
  3. Step 3: Cross multiply
    202.48x = 302.54 × 147.38
  4. Step 4: Simplify right side
    202.48x = 44,586.10
  5. Step 5: Solve for x
    x = 44,586.10/202.48
  6. Step 6: Final answer
    x = 220.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.