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Finding the Fourth Proportional to 261.53, 392.27 and 210.77

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Solution

The fourth proportional to 261.53, 392.27 and 210.77 is: 316.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.53 : 392.27 = 210.77 : x
  2. Step 2: Convert to fraction form
    261.53/392.27 = 210.77/x
  3. Step 3: Cross multiply
    261.53x = 392.27 × 210.77
  4. Step 4: Simplify right side
    261.53x = 82,675.73
  5. Step 5: Solve for x
    x = 82,675.73/261.53
  6. Step 6: Final answer
    x = 316.13

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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.