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Finding the Fourth Proportional to 202.23, 302.93 and 148.16

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Solution

The fourth proportional to 202.23, 302.93 and 148.16 is: 221.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.23 : 302.93 = 148.16 : x
  2. Step 2: Convert to fraction form
    202.23/302.93 = 148.16/x
  3. Step 3: Cross multiply
    202.23x = 302.93 × 148.16
  4. Step 4: Simplify right side
    202.23x = 44,882.11
  5. Step 5: Solve for x
    x = 44,882.11/202.23
  6. Step 6: Final answer
    x = 221.94

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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.