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Finding the Fourth Proportional to 176.81, 266.45 and 176.81

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Solution

The fourth proportional to 176.81, 266.45 and 176.81 is: 266.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.81 : 266.45 = 176.81 : x
  2. Step 2: Convert to fraction form
    176.81/266.45 = 176.81/x
  3. Step 3: Cross multiply
    176.81x = 266.45 × 176.81
  4. Step 4: Simplify right side
    176.81x = 47,108.81
  5. Step 5: Solve for x
    x = 47,108.81/176.81
  6. Step 6: Final answer
    x = 266.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.