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Finding the Fourth Proportional to 202, 302.40 and 150.40

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Solution

The fourth proportional to 202, 302.40 and 150.40 is: 225.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    202 : 302.40 = 150.40 : x
  2. Step 2: Convert to fraction form
    202/302.40 = 150.40/x
  3. Step 3: Cross multiply
    202x = 302.40 × 150.40
  4. Step 4: Simplify right side
    202x = 45,480.96
  5. Step 5: Solve for x
    x = 45,480.96/202
  6. Step 6: Final answer
    x = 225.15

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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.