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Finding the Fourth Proportional to 287.96, 432.10 and 117.08

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Solution

The fourth proportional to 287.96, 432.10 and 117.08 is: 175.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.96 : 432.10 = 117.08 : x
  2. Step 2: Convert to fraction form
    287.96/432.10 = 117.08/x
  3. Step 3: Cross multiply
    287.96x = 432.10 × 117.08
  4. Step 4: Simplify right side
    287.96x = 50,590.27
  5. Step 5: Solve for x
    x = 50,590.27/287.96
  6. Step 6: Final answer
    x = 175.69

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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.