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Finding the Fourth Proportional to 230.10, 317.47 and 136.77

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Solution

The fourth proportional to 230.10, 317.47 and 136.77 is: 188.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.10 : 317.47 = 136.77 : x
  2. Step 2: Convert to fraction form
    230.10/317.47 = 136.77/x
  3. Step 3: Cross multiply
    230.10x = 317.47 × 136.77
  4. Step 4: Simplify right side
    230.10x = 43,420.37
  5. Step 5: Solve for x
    x = 43,420.37/230.10
  6. Step 6: Final answer
    x = 188.70

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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.