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Finding the Fourth Proportional to 2.00, 2.98 and 1.77

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Solution

The fourth proportional to 2.00, 2.98 and 1.77 is: 2.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.00 : 2.98 = 1.77 : x
  2. Step 2: Convert to fraction form
    2.00/2.98 = 1.77/x
  3. Step 3: Cross multiply
    2.00x = 2.98 × 1.77
  4. Step 4: Simplify right side
    2.00x = 5.27
  5. Step 5: Solve for x
    x = 5.27/2.00
  6. Step 6: Final answer
    x = 2.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.