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Finding the Fourth Proportional to 261.16, 359.80 and 173.68

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Solution

The fourth proportional to 261.16, 359.80 and 173.68 is: 239.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.16 : 359.80 = 173.68 : x
  2. Step 2: Convert to fraction form
    261.16/359.80 = 173.68/x
  3. Step 3: Cross multiply
    261.16x = 359.80 × 173.68
  4. Step 4: Simplify right side
    261.16x = 62,490.06
  5. Step 5: Solve for x
    x = 62,490.06/261.16
  6. Step 6: Final answer
    x = 239.28

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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.