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Finding the Fourth Proportional to 370.76, 554.95 and 197.00

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Solution

The fourth proportional to 370.76, 554.95 and 197.00 is: 294.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.76 : 554.95 = 197.00 : x
  2. Step 2: Convert to fraction form
    370.76/554.95 = 197.00/x
  3. Step 3: Cross multiply
    370.76x = 554.95 × 197.00
  4. Step 4: Simplify right side
    370.76x = 109,325.87
  5. Step 5: Solve for x
    x = 109,325.87/370.76
  6. Step 6: Final answer
    x = 294.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.