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Finding the Fourth Proportional to 245.83, 368.81 and 99.49

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Solution

The fourth proportional to 245.83, 368.81 and 99.49 is: 149.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.83 : 368.81 = 99.49 : x
  2. Step 2: Convert to fraction form
    245.83/368.81 = 99.49/x
  3. Step 3: Cross multiply
    245.83x = 368.81 × 99.49
  4. Step 4: Simplify right side
    245.83x = 36,690.98
  5. Step 5: Solve for x
    x = 36,690.98/245.83
  6. Step 6: Final answer
    x = 149.26

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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.