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Finding the Fourth Proportional to 202.64, 304.08 and 130.40

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Solution

The fourth proportional to 202.64, 304.08 and 130.40 is: 195.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.64 : 304.08 = 130.40 : x
  2. Step 2: Convert to fraction form
    202.64/304.08 = 130.40/x
  3. Step 3: Cross multiply
    202.64x = 304.08 × 130.40
  4. Step 4: Simplify right side
    202.64x = 39,652.03
  5. Step 5: Solve for x
    x = 39,652.03/202.64
  6. Step 6: Final answer
    x = 195.68

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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.