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Finding the Fourth Proportional to 266.40, 364.32 and 259.20

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Solution

The fourth proportional to 266.40, 364.32 and 259.20 is: 354.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.40 : 364.32 = 259.20 : x
  2. Step 2: Convert to fraction form
    266.40/364.32 = 259.20/x
  3. Step 3: Cross multiply
    266.40x = 364.32 × 259.20
  4. Step 4: Simplify right side
    266.40x = 94,431.74
  5. Step 5: Solve for x
    x = 94,431.74/266.40
  6. Step 6: Final answer
    x = 354.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.