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Finding the Fourth Proportional to 304.10, 455.90 and 130.90

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Solution

The fourth proportional to 304.10, 455.90 and 130.90 is: 196.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.10 : 455.90 = 130.90 : x
  2. Step 2: Convert to fraction form
    304.10/455.90 = 130.90/x
  3. Step 3: Cross multiply
    304.10x = 455.90 × 130.90
  4. Step 4: Simplify right side
    304.10x = 59,677.31
  5. Step 5: Solve for x
    x = 59,677.31/304.10
  6. Step 6: Final answer
    x = 196.24

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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.