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Finding the Fourth Proportional to 214.02, 295.02 and 140.40

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Solution

The fourth proportional to 214.02, 295.02 and 140.40 is: 193.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.02 : 295.02 = 140.40 : x
  2. Step 2: Convert to fraction form
    214.02/295.02 = 140.40/x
  3. Step 3: Cross multiply
    214.02x = 295.02 × 140.40
  4. Step 4: Simplify right side
    214.02x = 41,420.81
  5. Step 5: Solve for x
    x = 41,420.81/214.02
  6. Step 6: Final answer
    x = 193.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.