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Finding the Fourth Proportional to 202.65, 304.43 and 145.01

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Solution

The fourth proportional to 202.65, 304.43 and 145.01 is: 217.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.65 : 304.43 = 145.01 : x
  2. Step 2: Convert to fraction form
    202.65/304.43 = 145.01/x
  3. Step 3: Cross multiply
    202.65x = 304.43 × 145.01
  4. Step 4: Simplify right side
    202.65x = 44,145.39
  5. Step 5: Solve for x
    x = 44,145.39/202.65
  6. Step 6: Final answer
    x = 217.84

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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.