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Finding the Fourth Proportional to 210.16, 314.80 and 152.28

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Solution

The fourth proportional to 210.16, 314.80 and 152.28 is: 228.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.16 : 314.80 = 152.28 : x
  2. Step 2: Convert to fraction form
    210.16/314.80 = 152.28/x
  3. Step 3: Cross multiply
    210.16x = 314.80 × 152.28
  4. Step 4: Simplify right side
    210.16x = 47,937.74
  5. Step 5: Solve for x
    x = 47,937.74/210.16
  6. Step 6: Final answer
    x = 228.10

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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.