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Finding the Fourth Proportional to 176.99, 244.35 and 152.01

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Solution

The fourth proportional to 176.99, 244.35 and 152.01 is: 209.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.99 : 244.35 = 152.01 : x
  2. Step 2: Convert to fraction form
    176.99/244.35 = 152.01/x
  3. Step 3: Cross multiply
    176.99x = 244.35 × 152.01
  4. Step 4: Simplify right side
    176.99x = 37,143.64
  5. Step 5: Solve for x
    x = 37,143.64/176.99
  6. Step 6: Final answer
    x = 209.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.