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Finding the Fourth Proportional to 305.07, 457.59 and 142.72

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Solution

The fourth proportional to 305.07, 457.59 and 142.72 is: 214.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.07 : 457.59 = 142.72 : x
  2. Step 2: Convert to fraction form
    305.07/457.59 = 142.72/x
  3. Step 3: Cross multiply
    305.07x = 457.59 × 142.72
  4. Step 4: Simplify right side
    305.07x = 65,307.24
  5. Step 5: Solve for x
    x = 65,307.24/305.07
  6. Step 6: Final answer
    x = 214.07

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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.