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Finding the Fourth Proportional to 229, 341.93 and 188.32

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Solution

The fourth proportional to 229, 341.93 and 188.32 is: 281.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    229 : 341.93 = 188.32 : x
  2. Step 2: Convert to fraction form
    229/341.93 = 188.32/x
  3. Step 3: Cross multiply
    229x = 341.93 × 188.32
  4. Step 4: Simplify right side
    229x = 64,392.26
  5. Step 5: Solve for x
    x = 64,392.26/229
  6. Step 6: Final answer
    x = 281.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.