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Finding the Fourth Proportional to 245.68, 368.70 and 198.16

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Solution

The fourth proportional to 245.68, 368.70 and 198.16 is: 297.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.68 : 368.70 = 198.16 : x
  2. Step 2: Convert to fraction form
    245.68/368.70 = 198.16/x
  3. Step 3: Cross multiply
    245.68x = 368.70 × 198.16
  4. Step 4: Simplify right side
    245.68x = 73,061.59
  5. Step 5: Solve for x
    x = 73,061.59/245.68
  6. Step 6: Final answer
    x = 297.39

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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.