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Finding the Fourth Proportional to 261.93, 390.77 and 238.35

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Solution

The fourth proportional to 261.93, 390.77 and 238.35 is: 355.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.93 : 390.77 = 238.35 : x
  2. Step 2: Convert to fraction form
    261.93/390.77 = 238.35/x
  3. Step 3: Cross multiply
    261.93x = 390.77 × 238.35
  4. Step 4: Simplify right side
    261.93x = 93,140.63
  5. Step 5: Solve for x
    x = 93,140.63/261.93
  6. Step 6: Final answer
    x = 355.59

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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.