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Finding the Fourth Proportional to 245.70, 368.19 and 101.26

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Solution

The fourth proportional to 245.70, 368.19 and 101.26 is: 151.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.70 : 368.19 = 101.26 : x
  2. Step 2: Convert to fraction form
    245.70/368.19 = 101.26/x
  3. Step 3: Cross multiply
    245.70x = 368.19 × 101.26
  4. Step 4: Simplify right side
    245.70x = 37,282.92
  5. Step 5: Solve for x
    x = 37,282.92/245.70
  6. Step 6: Final answer
    x = 151.74

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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.