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Finding the Fourth Proportional to 176.99, 266.40 and 160.22

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Solution

The fourth proportional to 176.99, 266.40 and 160.22 is: 241.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.99 : 266.40 = 160.22 : x
  2. Step 2: Convert to fraction form
    176.99/266.40 = 160.22/x
  3. Step 3: Cross multiply
    176.99x = 266.40 × 160.22
  4. Step 4: Simplify right side
    176.99x = 42,681.28
  5. Step 5: Solve for x
    x = 42,681.28/176.99
  6. Step 6: Final answer
    x = 241.16

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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.