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Finding the Fourth Proportional to 340.95, 510.89 and 242.99

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Solution

The fourth proportional to 340.95, 510.89 and 242.99 is: 364.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.95 : 510.89 = 242.99 : x
  2. Step 2: Convert to fraction form
    340.95/510.89 = 242.99/x
  3. Step 3: Cross multiply
    340.95x = 510.89 × 242.99
  4. Step 4: Simplify right side
    340.95x = 124,141.16
  5. Step 5: Solve for x
    x = 124,141.16/340.95
  6. Step 6: Final answer
    x = 364.10

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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.