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Finding the Fourth Proportional to 202.04, 302.64 and 148.22

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Solution

The fourth proportional to 202.04, 302.64 and 148.22 is: 222.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.04 : 302.64 = 148.22 : x
  2. Step 2: Convert to fraction form
    202.04/302.64 = 148.22/x
  3. Step 3: Cross multiply
    202.04x = 302.64 × 148.22
  4. Step 4: Simplify right side
    202.04x = 44,857.30
  5. Step 5: Solve for x
    x = 44,857.30/202.04
  6. Step 6: Final answer
    x = 222.02

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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.