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Finding the Fourth Proportional to 233.64, 320.67 and 214.20

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Solution

The fourth proportional to 233.64, 320.67 and 214.20 is: 293.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.64 : 320.67 = 214.20 : x
  2. Step 2: Convert to fraction form
    233.64/320.67 = 214.20/x
  3. Step 3: Cross multiply
    233.64x = 320.67 × 214.20
  4. Step 4: Simplify right side
    233.64x = 68,687.51
  5. Step 5: Solve for x
    x = 68,687.51/233.64
  6. Step 6: Final answer
    x = 293.99

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.