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Finding the Fourth Proportional to 145, 217.88 and 129

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Solution

The fourth proportional to 145, 217.88 and 129 is: 193.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    145 : 217.88 = 129 : x
  2. Step 2: Convert to fraction form
    145/217.88 = 129/x
  3. Step 3: Cross multiply
    145x = 217.88 × 129
  4. Step 4: Simplify right side
    145x = 28,106.52
  5. Step 5: Solve for x
    x = 28,106.52/145
  6. Step 6: Final answer
    x = 193.84

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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.