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Finding the Fourth Proportional to 370.90, 511.74 and 266.02

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Solution

The fourth proportional to 370.90, 511.74 and 266.02 is: 367.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.90 : 511.74 = 266.02 : x
  2. Step 2: Convert to fraction form
    370.90/511.74 = 266.02/x
  3. Step 3: Cross multiply
    370.90x = 511.74 × 266.02
  4. Step 4: Simplify right side
    370.90x = 136,133.07
  5. Step 5: Solve for x
    x = 136,133.07/370.90
  6. Step 6: Final answer
    x = 367.03

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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.