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Finding the Fourth Proportional to 245.74, 368.58 and 130.42

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Solution

The fourth proportional to 245.74, 368.58 and 130.42 is: 195.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.74 : 368.58 = 130.42 : x
  2. Step 2: Convert to fraction form
    245.74/368.58 = 130.42/x
  3. Step 3: Cross multiply
    245.74x = 368.58 × 130.42
  4. Step 4: Simplify right side
    245.74x = 48,070.20
  5. Step 5: Solve for x
    x = 48,070.20/245.74
  6. Step 6: Final answer
    x = 195.61

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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.