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Finding the Fourth Proportional to 265.19, 365.93 and 147.13

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Solution

The fourth proportional to 265.19, 365.93 and 147.13 is: 203.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.19 : 365.93 = 147.13 : x
  2. Step 2: Convert to fraction form
    265.19/365.93 = 147.13/x
  3. Step 3: Cross multiply
    265.19x = 365.93 × 147.13
  4. Step 4: Simplify right side
    265.19x = 53,840.24
  5. Step 5: Solve for x
    x = 53,840.24/265.19
  6. Step 6: Final answer
    x = 203.02

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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.