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Finding the Fourth Proportional to 214.30, 295.71 and 140.50

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Solution

The fourth proportional to 214.30, 295.71 and 140.50 is: 193.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.30 : 295.71 = 140.50 : x
  2. Step 2: Convert to fraction form
    214.30/295.71 = 140.50/x
  3. Step 3: Cross multiply
    214.30x = 295.71 × 140.50
  4. Step 4: Simplify right side
    214.30x = 41,547.26
  5. Step 5: Solve for x
    x = 41,547.26/214.30
  6. Step 6: Final answer
    x = 193.87

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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.