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Finding the Fourth Proportional to 245.32, 368.06 and 142.60

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Solution

The fourth proportional to 245.32, 368.06 and 142.60 is: 213.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.32 : 368.06 = 142.60 : x
  2. Step 2: Convert to fraction form
    245.32/368.06 = 142.60/x
  3. Step 3: Cross multiply
    245.32x = 368.06 × 142.60
  4. Step 4: Simplify right side
    245.32x = 52,485.36
  5. Step 5: Solve for x
    x = 52,485.36/245.32
  6. Step 6: Final answer
    x = 213.95

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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.