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Finding the Fourth Proportional to 257.84, 355.86 and 152.93

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Solution

The fourth proportional to 257.84, 355.86 and 152.93 is: 211.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.84 : 355.86 = 152.93 : x
  2. Step 2: Convert to fraction form
    257.84/355.86 = 152.93/x
  3. Step 3: Cross multiply
    257.84x = 355.86 × 152.93
  4. Step 4: Simplify right side
    257.84x = 54,421.67
  5. Step 5: Solve for x
    x = 54,421.67/257.84
  6. Step 6: Final answer
    x = 211.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.