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Finding the Fourth Proportional to 340.34, 510.39 and 123.93

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Solution

The fourth proportional to 340.34, 510.39 and 123.93 is: 185.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.34 : 510.39 = 123.93 : x
  2. Step 2: Convert to fraction form
    340.34/510.39 = 123.93/x
  3. Step 3: Cross multiply
    340.34x = 510.39 × 123.93
  4. Step 4: Simplify right side
    340.34x = 63,252.63
  5. Step 5: Solve for x
    x = 63,252.63/340.34
  6. Step 6: Final answer
    x = 185.85

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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.