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Finding the Fourth Proportional to 340.53, 510.78 and 97.06

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Solution

The fourth proportional to 340.53, 510.78 and 97.06 is: 145.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.53 : 510.78 = 97.06 : x
  2. Step 2: Convert to fraction form
    340.53/510.78 = 97.06/x
  3. Step 3: Cross multiply
    340.53x = 510.78 × 97.06
  4. Step 4: Simplify right side
    340.53x = 49,575.03
  5. Step 5: Solve for x
    x = 49,575.03/340.53
  6. Step 6: Final answer
    x = 145.58

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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.