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Finding the Fourth Proportional to 261.85, 390.95 and 235.93

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Solution

The fourth proportional to 261.85, 390.95 and 235.93 is: 352.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.85 : 390.95 = 235.93 : x
  2. Step 2: Convert to fraction form
    261.85/390.95 = 235.93/x
  3. Step 3: Cross multiply
    261.85x = 390.95 × 235.93
  4. Step 4: Simplify right side
    261.85x = 92,236.83
  5. Step 5: Solve for x
    x = 92,236.83/261.85
  6. Step 6: Final answer
    x = 352.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.