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Finding the Fourth Proportional to 264.06, 398.15 and 242.53

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Solution

The fourth proportional to 264.06, 398.15 and 242.53 is: 365.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.06 : 398.15 = 242.53 : x
  2. Step 2: Convert to fraction form
    264.06/398.15 = 242.53/x
  3. Step 3: Cross multiply
    264.06x = 398.15 × 242.53
  4. Step 4: Simplify right side
    264.06x = 96,563.32
  5. Step 5: Solve for x
    x = 96,563.32/264.06
  6. Step 6: Final answer
    x = 365.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.