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Finding the Fourth Proportional to 153.99, 230.91 and 117.81

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Solution

The fourth proportional to 153.99, 230.91 and 117.81 is: 176.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.99 : 230.91 = 117.81 : x
  2. Step 2: Convert to fraction form
    153.99/230.91 = 117.81/x
  3. Step 3: Cross multiply
    153.99x = 230.91 × 117.81
  4. Step 4: Simplify right side
    153.99x = 27,203.51
  5. Step 5: Solve for x
    x = 27,203.51/153.99
  6. Step 6: Final answer
    x = 176.66

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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.