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Finding the Fourth Proportional to 289.64, 400.14 and 265.07

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Solution

The fourth proportional to 289.64, 400.14 and 265.07 is: 366.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.64 : 400.14 = 265.07 : x
  2. Step 2: Convert to fraction form
    289.64/400.14 = 265.07/x
  3. Step 3: Cross multiply
    289.64x = 400.14 × 265.07
  4. Step 4: Simplify right side
    289.64x = 106,066.11
  5. Step 5: Solve for x
    x = 106,066.11/289.64
  6. Step 6: Final answer
    x = 366.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.