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Finding the Fourth Proportional to 177.46, 266.05 and 128.07

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Solution

The fourth proportional to 177.46, 266.05 and 128.07 is: 192.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.46 : 266.05 = 128.07 : x
  2. Step 2: Convert to fraction form
    177.46/266.05 = 128.07/x
  3. Step 3: Cross multiply
    177.46x = 266.05 × 128.07
  4. Step 4: Simplify right side
    177.46x = 34,073.02
  5. Step 5: Solve for x
    x = 34,073.02/177.46
  6. Step 6: Final answer
    x = 192.00

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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.