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Finding the Fourth Proportional to 262.22, 392.77 and 210.58

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Solution

The fourth proportional to 262.22, 392.77 and 210.58 is: 315.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.22 : 392.77 = 210.58 : x
  2. Step 2: Convert to fraction form
    262.22/392.77 = 210.58/x
  3. Step 3: Cross multiply
    262.22x = 392.77 × 210.58
  4. Step 4: Simplify right side
    262.22x = 82,709.51
  5. Step 5: Solve for x
    x = 82,709.51/262.22
  6. Step 6: Final answer
    x = 315.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.