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Finding the Fourth Proportional to 262.04, 360.58 and 214.34

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Solution

The fourth proportional to 262.04, 360.58 and 214.34 is: 294.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.04 : 360.58 = 214.34 : x
  2. Step 2: Convert to fraction form
    262.04/360.58 = 214.34/x
  3. Step 3: Cross multiply
    262.04x = 360.58 × 214.34
  4. Step 4: Simplify right side
    262.04x = 77,287.08
  5. Step 5: Solve for x
    x = 77,287.08/262.04
  6. Step 6: Final answer
    x = 294.95

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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.