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Finding the Fourth Proportional to 177.51, 266.21 and 99.42

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Solution

The fourth proportional to 177.51, 266.21 and 99.42 is: 149.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.51 : 266.21 = 99.42 : x
  2. Step 2: Convert to fraction form
    177.51/266.21 = 99.42/x
  3. Step 3: Cross multiply
    177.51x = 266.21 × 99.42
  4. Step 4: Simplify right side
    177.51x = 26,466.10
  5. Step 5: Solve for x
    x = 26,466.10/177.51
  6. Step 6: Final answer
    x = 149.10

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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.