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Finding the Fourth Proportional to 266.60, 368.20 and 253.64

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Solution

The fourth proportional to 266.60, 368.20 and 253.64 is: 350.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.60 : 368.20 = 253.64 : x
  2. Step 2: Convert to fraction form
    266.60/368.20 = 253.64/x
  3. Step 3: Cross multiply
    266.60x = 368.20 × 253.64
  4. Step 4: Simplify right side
    266.60x = 93,390.25
  5. Step 5: Solve for x
    x = 93,390.25/266.60
  6. Step 6: Final answer
    x = 350.30

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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.