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Finding the Fourth Proportional to 202.72, 304.16 and 148.96

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Solution

The fourth proportional to 202.72, 304.16 and 148.96 is: 223.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.72 : 304.16 = 148.96 : x
  2. Step 2: Convert to fraction form
    202.72/304.16 = 148.96/x
  3. Step 3: Cross multiply
    202.72x = 304.16 × 148.96
  4. Step 4: Simplify right side
    202.72x = 45,307.67
  5. Step 5: Solve for x
    x = 45,307.67/202.72
  6. Step 6: Final answer
    x = 223.50

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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.