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Finding the Fourth Proportional to 265.40, 365.74 and 187.64

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Solution

The fourth proportional to 265.40, 365.74 and 187.64 is: 258.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.40 : 365.74 = 187.64 : x
  2. Step 2: Convert to fraction form
    265.40/365.74 = 187.64/x
  3. Step 3: Cross multiply
    265.40x = 365.74 × 187.64
  4. Step 4: Simplify right side
    265.40x = 68,625.16
  5. Step 5: Solve for x
    x = 68,625.16/265.40
  6. Step 6: Final answer
    x = 258.58

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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.